Use the Ratio Test to determine if the series converges. 1 64 729 4096 + ... + 5 25 + 125 625 Select the correct choice below and fill in the answer box to complete your choice.

Q: (-9) Σ 5 0 = 1

A: The answer is given below:   Ration Test

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A:

Q: Evaluate the series or state that it diverges. 38 Σ[3] [4]] + 4 9 k=1 Select the correct choice…

A: We have to find sum

Q: (-11^ la ) 이의 7) 9) n=1

A:

Q: Determine whether the series converges or diverges. If it converges, find the sum. 3" -1 (Hint: The…

A: Given: S=∑n=1∞3n-15n for finding given summation, we expand given summation by putting value of…

Q: For each series below, determine whether it converges, diverges, or whether there is not enough…

A:

Q: Listen Use the Ratio Test to determine if the series converges or diverges. (2n) Σ 3n(nl)2 n=1…

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: Refer to the question.Here we have to find the convergence of the series,

Q: 3rd (b) E 22m+7

A: According to the given information, it is required to check whether the series is convergent or not.…

Q: n4 . 4" n!

A:

Q: use thE formula for the sum of a geometric series to find the sum or state that the series diverges

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.…

A: Ratio Test: Let ∑n=1∞Un be the series of positive terms and l=limn→∞Un+1Un. Then the series is…

Q: 22. n=1

A: Explanation of the answer is as follows

Q: Σ n/n

A:

Q: Determine the convergence or divergence of the series Σ Justify your answer. n!

A:

Q: Usc the Raho Testh to detcrmine whether the series is convergen or diveraent n 100

A: In order to apply the ratio test, we calculate the ratio, R as shown on the white board, where Tn is…

Q: 2.) Write down an example of a series , an such that the terms of the series go to zero, yet the…

A:

Q: Determine if the series converges absolutely, converges conditionally, or diverges. Explain your…

A:

Q: Σ Vn5 + 7 n%3=

A: We have to find cheek converges

Q: k! (2k)! IM

A: We need to determine whether the given series converges or diverges. Also we are asked to find the…

Q: 1 Σ 19. n1/3 + 2" 8.

A:

Q: n 0) Σ Inn n=4

A: follow next step

Q: 1 7) ΣΤ-21 (In n)n 100 n=2

A: We have to find the given series convergence or divergence.

Q: 2. 8 2 + (-1) 5+

A: Here we have ∑k=1∞2+(-1)k5k

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: The given series is

Q: Write a formula of a, for the following geometric series and identify the series is convergent or…

A:

Q: dive gent.write the Determine whether the series is test that you Use. convergent nt1 n=3

A:

Q: Use the Ratio Test to determine the convergence or divergence of the series. (If you need to use ∞…

A: The given series is (2n)! /n2 , n from 1 to infinity.

Q: .  Identify the series and determine the sum of (3x+2y)+(5x+2y)+(7x+2y)+...+a10 2. In the geometric…

A: This is a AP and GP problem

Q: n? Σ n3 +5

A: Given series is ∑n2n3+5 Series integral test:- Let an be the monotonically decreasing sequence of…

Q: п2"(п + 1)! 36. 2 3"n! n=1

A:

Q: Astudent argues that (-1)" /n is an alternating series and therefore converges. Is the student…

A:

Q: Determine whether each series is convergent or divergent. If it converges, find its sum. b. 5-…

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10" Σ…

A:

Q: 2* (k + 1) k? (k + 2) 56. k=2

A: topic - series convergence

Q: 3" Σ A=1

A: WE USE THE COMPARISION TEST

Q: 2. Express the series as an infinite sum, then determine if it converges. Justify your reasoning…

A:

Q: Determine whether the series converges absolutely, converges conditionally, verges. Justify your…

A: Suppose we have the series ∑an Define, Then, if L<1 the series is absolutely convergent (and…

Q: Determine whether the followng telesciping series converges or diverges. IF it converges, what is…

A: Let ∑1∞uk be an infinite series and let Sn be the sequence ofpartial sums of the series; if limn→∞Sn…

Q: Use the Comparison Test to determine whether the series is convergent or divergent. If it is…

A:

Q: 3" + 2" (6) E 5" n=1

A:

Q: (c) Use the ratio test to determine whether the series is absolutely convergent, conditionally…

A:

Q: 5 Determine if is a p-series or not. If so, determine if the series converges or 19 n 6 n=1…

A:

Q: Use Ratio test to determine whether the series, E n is convergent or divergent n=12"

A: We will use ratio test as follows to find whether the series is converging or diverging

Q: Use the Ratio Test to determine if the series converges. M8 k=1 %*x Select the correct choice below…

A: Ratio Test : Consider the given series ∑k=1∞ ak .and L = limk→∞ ak+1ak , then(i)If  L<1, then…

Q: 3. For each of the series below, select ALL tests that would apply to the series and state whether…

A: b) ∑k=1∞-2klnk---------------- We will not use geometric test for the given series as there is no…

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: Yes the series is convergent. It's sum is 2/5. See below the calculation

Q: Consider the series 1 (a) Does the sequence (a,) = -converge or diverge? (b) Does this series…

A: We are given the following series.             For (a), Now,           So, the sequence {an} = 1/n…

Q: n! =) Use the ratio test to determine if the series converges or 100 diverges.

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.