5,8,11,14,17,20,23,26 what's the 45th term?
Answers
The 45th term in the sequence 5, 8, 11, 14, 17, 20, 23, 26 can be found using the formula nth term = a + (n-1)d, where a is the first term, d is a common difference, and n is the number of the term we want to find. The 45th term is 137.
To find the 45th term in the sequence 5, 8, 11, 14, 17, 20, 23, 26, we need to first find the common difference between the terms. In this case, the common difference is 3 because each term is 3 more than the previous one.
To find the 45th term, we can use the formula for the nth term of an arithmetic sequence:
nth term = a + (n-1)d
where a is the first term, d is the common difference, and n is the number of the term we want to find.
Plugging in the values we know, we get:
45th term = 5 + (45-1)3
45th term = 5 + 44(3)
45th term = 5 + 132
45th term = 137
Therefore, the 45th term in the sequence is 137.
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Related Questions
Type the correct answer in each box. A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is units. The point (-7, ) lies on this circle.
Answers
Answer:
The circle has like an equation: (x+3)²+(y-2)²=r²
If x=1 then y=5 ==>(1+3)²+(5-2)²=r²==>4²+3²=r²==>r=5 (the radius)
if x=-7 then (-7+3)²+(y-2)²=25 ==> (y-2)²=25-16==>y=2+3 or y=2-3
The points (-7,5) and (-7,-1) are on the circle.
Sophia owns a small business selling used books. She knows that in the last week 15 customers paid cash, 50 customers used a debit card, and 15 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a decimal to the nearest hundredth.
Answers
The probability that the next person will pay with a debit card is:
P = 0.63
How to find the probability?
We want to find he probability that the next customer will pay with a debit card.
That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.
We know that:
15 paid in cash.
50 paid with debit card.
15 paid with credit card.
For a total of 15 + 50 + 15 = 80
Then the probability is:
P = 50/80 = 0.63
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Help with math question please
Answers
system properties, lss midterm 2, fall 2018 short answer). (a) consider a system with laplace transform h(s) = s 1 s2 s −20 . (1) is this system lowpass or bandpass? explain your reasoning.
Answers
The system described by the Laplace transform h(s) = s / (s^2 + s – 20) is a bandpass system.
To determine if a system is lowpass or bandpass, we examine the poles of its transfer function. In this case, the denominator of the Laplace transform represents the characteristic equation of the system.
The roots of the characteristic equation can help us identify the system’s frequency response. If the roots are real and negative, the system is lowpass. If the roots are complex conjugate pairs with positive real parts, the system is bandpass.
For the given system, we need to find the roots of the denominator: s^2 + s – 20 = 0. By factoring or using the quadratic formula, we find the roots to be s = 4 and s = -5.
Since the roots are real and have different signs (+4 and -5), the system is not lowpass. Instead, it is a bandpass system because it allows a range of frequencies to pass while attenuating others.
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6^2 -(8-4) ^2 +7=
pls help I can’t fail math LOL
Answers
6^2-(8-4)^2+7=27
step by step
6^2=36
-(8-4)^2=-16
36-16+7=27
so your answer would be 27
in 1960, there were 450,000 cases of measles reported in the u.s. in 1996, there were 500 cases reported. how many cases of measles would have been reported in 1987 if the number of cases reported from 1960 to 1996 decreased linearly?
Answers
We can estimate that around 205,313 cases of measles would have been reported in the U.S. in 1987 if the number of cases reported from 1960 to 1996 decreased linearly.
To estimate the number of measles cases reported in 1987 if the number of cases reported from 1960 to 1996 decreased linearly, we need to use a linear regression model. Linear regression is a statistical method that allows us to estimate the relationship between two variables by fitting a straight line to a set of data points.
In this case, we can use the number of reported measles cases as the dependent variable (y) and the year as the independent variable (x). We can then fit a linear regression line to the data from 1960 to 1996 and use this line to estimate the number of cases in 1987.
Assuming a linear relationship between the number of cases and the year, we can calculate the slope of the regression line as follows:
slope = (500 - 450,000) / (1996 - 1960) = -10,125
This means that the number of reported measles cases decreased by 10,125 per year, on average, between 1960 and 1996.
Using this slope and the known values for 1960 and 1996, we can estimate the number of cases in 1987 as follows:
y = mx + b
where y is the number of cases, m is the slope, x is the year (1987), and b is the y-intercept of the regression line.
We can solve for b as follows:
b = y - mx
where y is the number of cases in 1996, m is the slope, and x is the year (1996).
Substituting in the values, we get:
b = 500 - (-10,125) * 1996 = 20,503,500
Therefore, the equation of the regression line is:
y = -10,125x + 20,503,500
Substituting x = 1987, we get:
y = -10,125 * 1987 + 20,503,500 = 205,313
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H= 51.34
Please work out the volume of this.
Answers
The volume of the prism is
70 cm³How to find the volume of the prismThe volume of the prism is solved by the formula
= area of triangle * depth
Area of the triangle
= 1/2 base * height
base = p = cos 51.34 * √41 = 4
height = q = sin 51.34 * √41 = 5
= 1/2 * 4 * 5
= 10
volume of the prism
= area of triangle * depth
= 10 * 7
= 70 cm³
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A phone case comes in 8 different colors, and you can also pick from 10 different patterns. If you can only pick one of each, how many different phone cases can there be
Answers
Answer:
80
Step-by-step explanation:
8 different colors multiplied by 10 different patterns
For any correlation, people often assume that change in one quantity causes change in the second quantity. This is not always true. For each situation, do you think that change in the first quantity causes change in the second quantity? What else may have affected the change in the second quantity?
number of miles driven and fuel expenses
Answers
For the given situation, we can clearly say that the change in one quantity will also cause a change in the second quantity.
Correlation is a relationship between the values of two variables. A scatter plot is a useful tool for displaying data about two variables as a series of points in the x and y plane and determining whether there is a correlation between the variables.
Causality means that one event causes another. Well-designed experiments can only determine causality. In such experiments, similar groups receive different treatments, and the results of each group are examined.
The collected data on the number of miles driven and fuel expenses. we found that number of miles driven tended to be lower when fuel expenses were high, and the number of miles driven tended to be higher when fuel expenses sales were high.
We do not conclude that more fuel expenses mean fewer miles driven. Likely, an Increased in fuel expenses and the number of miles driven may be caused by a third factor, car mileage. So, the present case is a case of negative correlation.
Negative correlation: y decreases as x increases.
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A
solid one-wat slab is better than a ribbed one-way slab for long
spans.
True or False
Answers
The statement "A solid one-way slab is better than a ribbed one-way slab for long spans" is false. A one-way slab is a type of concrete slab that is supported by beams or walls in two directions. It can only bend in one direction.
One-way slabs have a single span and a uniform thickness. Ribbed and solid one-way slabs are the two types of one-way slabs. Ribbed one-way slabs have reinforcement ribs underneath them. The beams, which are located between the ribs, provide additional reinforcement. Solid one-way slabs, on the other hand, do not have any additional support. The slabs are supported by walls or beams on all sides, and their thickness remains constant throughout.
The statement "A solid one-way slab is better than a ribbed one-way slab for long spans" is false. Ribbed slabs are more efficient for longer spans since they have a higher span-to-depth ratio and are lighter. Ribbed slabs are often used in long spans since they can span up to 18 meters, depending on the design requirements.
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Matthew is going to invest $82,000 and leave it in an account for 13 vears. Assuming the interest is compounded monthly, what interest rate, to the nearest hundredth of a percent, would be required in order for Matthew to end up with $152,000?
Answers
A = P(1 + r/n)^(nt)
where:
A = the final amount (in this case, $152,000)
P = the principal amount (in this case, $82,000)
r = the interest rate (to be determined)
n = the number of times interest is compounded per year (12 for monthly compounding)
t = the number of years (in this case, 13)
Plugging in the given values and solving for r:
152000 = 82000(1 + r/12)^(12*13)
Dividing both sides by $82,000:
1.8537 = (1 + r/12)^(12*13)
Taking the natural logarithm (ln) of both sides:
ln(1.8537) = ln((1 + r/12)^(12*13))
Using the logarithm property that ln(a^b) = b*ln(a):
ln(1.8537) = 1213ln(1 + r/12)
Dividing both sides by 12*13:
ln(1.8537)/(12*13) = ln(1 + r/12)
Taking the exponential (e) of both sides:
e^(ln(1.8537)/(12*13)) = 1 + r/12
Subtracting 1 from both sides:
e^(ln(1.8537)/(12*13)) - 1 = r/12
Multiplying both sides by 12:
12 * (e^(ln(1.8537)/(12*13)) - 1) = r
Using a calculator to evaluate the right-hand side, we get:
r ≈ 0.0343 or 3.43%
Therefore, Matthew would need an interest rate of approximately 3.43% (to the nearest hundredth of a percent)
someone please help.
Answers
The completed table with regards to terms of an expression are presented as follows;
Condition \({}\) (6·x + 3) + (5·x - 4) (-4·y - 16) - 8·y + 10 + 2·y
Exactly 3 terms N/A \({}\) N/A
Exactly 5 terms N/A \({}\) N/A
Includes a zero pair No \({}\) No
Uses distributive property No No
Includes a negative factor No
Has no like terms False False
Condition \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\) 0.25·(8·m - 12) - 0.5·(-4·m + 2)
Exactly 3 terms No \({}\) No
Exactly 5 terms Yes \({}\) \({}\) No
Includes a zero pair No \({}\) \({}\) Yes
Uses the distributive property Yes \({}\) Yes
Includes a negative factor Yes \({}\) Yes
Has no like terms No \({}\) No
What is a mathematical expression?A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.
The details of the conditions in the question are as follows;
Terms of an expression
A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction
Zero pair
A zero pair are two numbers that when added together have a zero result
Distributive property
The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend
Negative factor
A negative factor is a factor that has a negative sign prefix
Like terms
Like terms are terms consisting of identical variables with the same powers of the variable
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Write a multiplication equation AND a division equation to represent this statement. * There are 12 fourths in 3.
Answers
Multiplication: 12* 1/4= 3
The equation in multiplication form and division will be equal to 12/3 = 4 and 12 × 1/4 = 3.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
The given statement is: There are 12-fourths in 3.
The statement in division form will be,
= 12/3 =4
The statement in multiplication form,
Multiplication: 12 × 1/4 = 3
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the probability of getting a single pair in a poker hand of 5 cardsis approximately 0:42. find the approximate probability that out of 1000 pokerhands there will be at least 450 with a single pair.
Answers
The approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035
How to find the approximate probability ?
This is a binomial distribution problem with n = 1000 and p = 0.42. Let X be the number of poker hands with a single pair out of 1000 poker hands.
To find the probability that there are at least 450 poker hands with a single pair, we need to calculate P(X ≥ 450).
Using the normal approximation to the binomial distribution, we have:
μ = np = 1000 × 0.42 = 420
σ = √(np(1-p)) = √(1000 × 0.42 × 0.58) ≈ 16.08
Using the continuity correction, we can approximate P(X ≥ 450) as P(Z ≥ (449.5 - 420)/16.08) where Z is the standard normal distribution.
P(Z ≥ (449.5 - 420)/16.08) = P(Z ≥ 1.814) ≈ 0.035
Therefore, the approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035.
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given the standard deviation of 3.7 for a data set, what is the approximate value of the variance?
Answers
In this case, the standard deviation is 3.7, so the variance is 3.7², or 13.69. This means that the data points in the data set are, on average, 13.69 units away from the mean.
The variance of a data set is a measure of how the data points are distributed around the mean. It is calculated by squaring the standard deviation, which is the average distance of the data points from the mean.
Variance is a useful measure for quantifying the spread and variability of the data points in a data set. By knowing the variance, it is possible to make predictions about how likely it is that a given data point will fall within a certain range from the mean.
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Find the square root 25
Answers
Answer:
5
Step-by-step explanation:
Multiply the number by itself, so because 5 * 5 = 25, the sqrt of 25 is 5.
If y varies directly with x and y=-16 when x=8, find y when x=2
Answers
Answer:
y=-4
Step-by-step explanation:
The answer is going to be -4 as when y=-16 x=8.
No Solutions 2x + 5 + 2x + 3x = One Solution 2x+5+ 2x + 3x = Infinitely Many Solutions 2x + 5 + 2x + 3x =
Answers
Answer:
2x+5+2x +3x=7x+5 2x +5+ 2x + 3x = 7x+5
Step-by-step explanation:
how many different ways can 11 player soccer team be selected if there are 16 players trying out for tthe team?
Answers
There are 4,368 different ways to select an 11-player soccer team from a group of 16 players.
What is combination formula?The combination formula is used to determine the number of ways to select items from a collection where the order of selection is irrelevant.
We can use the combination formula to determine the number of ways to select an 11-player soccer team from a group of 16 players. The combination formula is:
n choose k = n! / (k! * (n - k)!)
where n is the total number of items, k is the number of items to choose, and ! denotes the factorial function (i.e., the product of all positive integers up to and including the argument).
In this case, we want to choose k = 11 players from a group of n = 16 players. Therefore, the number of ways to select an 11-player soccer team from a group of 16 players is:
16 choose 11 = 16! / (11! * (16 - 11)!) = 4368
Therefore, there are 4,368 different ways to select an 11-player soccer team from a group of 16 players.
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Hello pls helppppppppppp
Answers
Answer:
B
Step-by-step explanation:
Answer:
For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3. t is 12/20 Simplified? - 3/5 is the simplified fraction for 12/20.3/10+21/100 as a fraction
Answers
Answer:
51/100Step-by-step explanation:
3/10 + 21/100=> 30/100 + 21/100=> 51/100Conclusion:
Therefore, 3/10 + 21/100 equals 51/100 as a fraction.
Hoped this helped.
\(BrainiacUser1357\)
0.51000 which as smaller is 0.51
Step-by-step explanation:
simplify 21/ 100 then add 3/10 + 21/100 then simplify 3/10 then you would do 3×10+21/100 which equals 51/100
1000 divided by 4 equal to what
Answers
Answer:
250?
Step-by-step explanation:
1000÷4=250
I think this is the right answer.
Answer:
250
Step-by-step explanation:
100/4 =25
you just add another 0
Trigonometry: If f(x)= 2sinx + cosx using exact values find f (120 degrees). if possible show steps.
Answers
Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
Suppose a meal consists of one sandwich, one side order and one beverage. What is the most
expensive meal you can purchase? How much does it cost?
Hamburger $3.25
Bacon Cheeseburger $4.75
Chicken Fajita Taco $3.50
French Fries, Small $1.55
French Fries, Large $1.90
Onion Rings $2.40
Cole Slaw $1.45
Soft Drink, Small $1.30
Soft Drink, Large $1.65
Milkshake $3.25
Juice $1.80
Answers
$26.8 is the total cost and Chicken Fajita Taco is the most
expensive meal .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Hamburger + Bacon Cheeseburger + Chicken Fajita Taco + French Fries, Small + French Fries, Large + Onion Rings + Cole Slaw + Soft Drink, Small + Soft Drink, Large + Milkshake + Juice
= $3.25 + $4.75 + $3.50 + $1.55 + $1.90 + $2.40 + $1.45 + $1.30 + $1.65 + $3.25 + $1.80
= $26.8
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Suppose you are reading an article online when the following text appeared in a popup window: 'Would you be interested in participating in short health-related survey? If you qualify and complete this rate for this survey? survey Choose the correct answer below 0A- The company is selecting people randomly The company is using an online survey The company is using callbacks 0 0_ The company is using reward in the form of the $2.00 payment and an incentive by telling the readers that
Answers
Answer:
Step-by-step explanation:
meow goofy kid
By applying online survey method concept, it can be concluded that the company is using reward in the form of a $2.00 payment and an incentive by telling the readers that his or her input will make a difference (option D).
Online survey is a common survey method used by companies to gather data from a sample of the population.
Response rate is defined by the percentage of persons asked to answer a survey who actually answer the survey.
The company is using an online survey to allow them to reach a larger sample of people and gather data more efficiently.
However, by offering a small reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference, the company is hoping to increase the response rate and get more accurate results from the survey. (option D)
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Full question:
Suppose you are reading an article online when the following text appeared in a popup window:
"Would you be interested in participating in a short health-related survey? If you qualify and complete this survey, you will receive $2.00".
What tactic is being used to increase the response rate for this survey? A. The company is selecting people randomly.
B. The company is using an online survey.
C. The company is using callbacks.
D. The company is using a reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference
Let u:R+2→R be a strictly increasing C2 utility function. (a) Derive an expression for the slope of an indifference curve at an arbitrary consumption bundle (x0,y0)∈R++2. (b) Take a derivative of the expression in part (a) in order to compute the second-order derivative of the indifference curve. Demonstrate this second-order derivative is positive (i.e. the law of diminishing marginal rate of substitution holds) if u is quasiconcave on R+2
Answers
(a) The slope of an indifference curve at an arbitrary consumption bundle (x0, y0) is given by the negative ratio of the marginal utilities of x and y, i.e., -MUx/MUy.
(b) Taking the derivative of the expression in part (a) gives the second-order derivative of the indifference curve. If the utility function u is quasiconcave on R+2, this second-order derivative will be positive, demonstrating the law of diminishing marginal rate of substitution.
How can we express the slope of an indifference curve and its second-order derivative?In economics, an indifference curve represents the combinations of two goods (x and y) that provide the same level of utility or satisfaction to an individual.
The slope of an indifference curve measures the rate at which the individual is willing to substitute one good for another while remaining indifferent.
To derive an expression for the slope of an indifference curve at a given consumption bundle (x0, y0), we consider the marginal utilities of x (MUx) and y (MUy).
The slope is determined by the negative ratio of MUx to MUy, which indicates the relative change in x compared to y that maintains the same level of utility.
Taking the derivative of this expression provides the second-order derivative of the indifference curve. If the utility function u is quasiconcave on R+2, which means that indifference curves are convex, the second-order derivative will be positive.
This confirms the law of diminishing marginal rate of substitution, stating that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.
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Laraine worked 40 regular hours last week, plus 3 overtime hours at the 1.5 rate. Her pay was $476.15. What was her hourly rate?
Answers
Answer:
Her hourly rate is $10.7
Step-by-step explanation:
Here, we are interested in calculating Laraine hourly rate.
In the question, we are told that the overtime rate is 1.5 times the regular hours rate.
Now, let the regular hours rate be $x / hour
For a total of 40 hours, the total money made will be 40 * x = $40x
Now let’s look at the overtime;
Since the overtime is 1.5 times the regular and she had 3 overtime hours;
Money obtained from overtime will be 1.5 * x * 3 = $4.5x
Let’s add this to the regular and equate to the total money made;
4.5x + 40x = 476.15
44.5x = 476.15
x = 476.15/44.5
x = 10.7
Find the measures of the angles of an isosceles triangle where the ratio of the vertex angle to one of the base angles is 1:2.
Answers
Answer:
Angles of the isosceles triangle are 36°, 72° , 72°
Step-by-step explanation:
Vertex angle : Base angle = 1 : 2
Vertex angle = x
Base angle = 2x
Sum of all angles of a triangle = 180°
x + 2x + 2x = 180°
5x = 180
x = 180 ÷ 5
x = 36°
2x = 2 *36 = 72°
Angles of the isosceles triangle are 36°, 72° , 72°
the ten numbers from $1$ to $10$ are split into two groups. the sum of the numbers in one group is $n,$ and the product of the numbers in the other group is $n.$ what is the largest possible value of $n?$
Answers
The largest possible value of n can be calculated using factorials and the largest value would be 3628800
The concept of factorials is used to calculate the value of n.
Factorials are defined as mathematical expression that is the product of the given number down to 1. It is denoted with the symbol n! which means that if n is given as 5, then its factorial would be =5×4×3×2×1 = 120.
Factorial of n!= nx(n-1)(n-2)........x2x1
Factorials are used in mathematics or statistics to denote the possibilities of an event in an outcome.
The total numbers of the two groups = 10
The factorials of 10! = 10×9×8×7×6×5×4×3×2×1
= 3,628,800.
Therefore, The largest possible value of n can be calculated using factorials and the largest value would be 3628800
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Solve the equation with the initial condition y(0) = 1 and y'(0) = 0. (x²+1)y" (x) + 4xy' (a) + 2y(x) = 0
Answers
There is no solution that satisfies both the differential equation and the initial conditions provided.
To solve the given second-order linear homogeneous differential equation with initial conditions, we can use the method of power series.
Let's assume that the solution can be expressed as a power series: y(x) = ∑(n=0 to ∞) aₙxⁿ.
Differentiating y(x), we have:
y'(x) = ∑(n=1 to ∞) naₙxⁿ⁻¹
y''(x) = ∑(n=2 to ∞) n(n-1)aₙxⁿ⁻²
Now we can substitute these expressions into the differential equation and equate the coefficients of the corresponding powers of x to zero.
(x²+1)y''(x) + 4xy'(x) + 2y(x) = ∑(n=2 to ∞) n(n-1)aₙxⁿ + ∑(n=1 to ∞) 4naₙxⁿ + ∑(n=0 to ∞) 2aₙxⁿ
To find the recurrence relation for the coefficients aₙ, we can equate the coefficients of each power of x to zero.
For n ≥ 2:
n(n-1)aₙ + 4naₙ + 2aₙ = 0
n(n-1) + 4n + 2 = 0
n² + 3n + 2 = 0
(n+1)(n+2) = 0
So we have two possibilities:
n+1 = 0 => n = -1
n+2 = 0 => n = -2
For n = -1:
(-1)(-1-1)a₋₁ + 4(-1)a₋₁ + 2a₋₁ = 0
a₋₁ - 4a₋₁ + 2a₋₁ = 0
-3a₋₁ = 0
a₋₁ = 0
For n = -2:
(-2)(-2-1)a₋₂ + 4(-2)a₋₂ + 2a₋₂ = 0
6a₋₂ - 8a₋₂ + 2a₋₂ = 0
0a₋₂ = 0
a₋₂ (arbitrary constant)
For n = 0:
0a₀ + 4(0)a₀ + 2a₀ = 0
2a₀ = 0
a₀ = 0
For n = 1:
1(1-1)a₁ + 4(1)a₁ + 2a₁ = 0
2a₁ = 0
a₁ = 0
Therefore, we have a₋₂ (arbitrary constant), a₋₁ = 0, a₀ = 0, and a₁ = 0.
The general solution of the differential equation is:
y(x) = a₋₂x⁻²
Applying the initial conditions:
y(0) = a₋₂(0)⁻² = 1
Since x = 0, the term a₋₂x⁻² is undefined. Hence, we cannot satisfy the initial condition y(0) = 1.
As a result, there is no solution that satisfies both the differential equation and the initial conditions provided.
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