Determine if the Note: If it converges, consider whether it is geometric or telescoping and enter its sum. If it diverges, enter divergent. 00 -7n - e-7n+1)) = divergent n=1

Q: +00 1 xln"(ex)

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Q: Σ 2n n? + 2n h= 1

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Q: Jlgu (-1)" +1 Σ (3x)" What are all of the values of x ,such that 00 converges? n=1 x>02 C) x>3.3 O

A: Using ratio test the condition of convergence is:…

Q: (2!)2 C)) (2n)! n=1

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Q: 1 1 Зп — 1 3n + 2 n=1

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Q: termine whether the sequence converges

A: Given that : The sequence an = 8n( 1+ 9n)  .

Q: the sequence is converge or diverge?    an+(-1)n+1 / 2n-1

A: Let an=12n-1           Then the given series is in the form ∑n=1∞-1n+1an           Since…

Q: {( 2n The sequence 1+ 2n n=1 Diverges 1 Converges to 1 Converges to Converges to Vē None

A: Ans is given below

Q: Write the first five terms of the sequence: +o0 {Vn? + 2n – n} n=1 Determine whether the sequence…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (2n-1)!] a)…

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Q: Q8) The sequence 5 +(-1)" an' a) converges to 1 b) converges to c) converges to 0 d) diverges |5

A: an = 5+(-1)n5      = ∑n=1∞5+(-1)n5 =∞ ∑n=1∞5+(-1)n5 diverges to ∞

Q: Does the sequences converges or diverges ? A) . (1-)") .«1 +(-1)"), ((-1)". (n+3 2n3 \n+1, n3+1

A: SOLUTION-

Q: Q8 Determine whether {(1+2)"} Converges or diverges. n=0

A: To find the convergence of 1+pnpnn=0∞ For that, note that: limx→∞1+axxa=e

Q: Determine whether the statement is true or false. If the statement is true explain why. If the…

A:

Q: Determine if the sequence converges or diverges. Briefly justify! When she converges provide her…

A: find the limit of given sequence at infinity.

Q: b. b; = e* + ! 1 k

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Q: 3. 4. En=12 () 4,

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Q: n" 3) > (-3)2n n=1

A: We apply here root test.

Q: Find if the sequences diverges or converges. If converegs, find the limit. 1. an=n1/n

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write TRUE if the statement is always correct and FALSE if otherwise. Prove your answer. (a) If an…

A: The given statement is (a) If an≥0 for all n∈ℕ, then ∑n=1∞an does not converge conditionally.…

Q: Choose the correct statement(s) for given sequence 2n an n2 +1 A. The sequence is divergent. B. The…

A: Consider the sequence  an=2nn2+1

Q: Write the first five terms of the sequence: {Vn? + 4n – n}n=1 - Determine whether the sequence…

A:

Q: 2 – 5n 11п-1 n=1

A: Use ratio test.

Q: (-1)"n² n2 + 1

A: Topic: sequence and series

Q: 6n2 2 – 5n in 2n2 + 1

A:

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. (a) a, =…

A:

Q: Determine whether the SEQUENCE converges or diverges. If it converges, find the limit: 3x n+4n-V5…

A: If the limit of the sequences is finite then it is convergent.

Q: 8n Consider a, = 12n + 13 Determine if each of the following converges or diverges. Note: If it…

A:

Q: a, > 0 and Ea, converges, then (-1)"an converges O False O True

A: This is Not True. Hence False is the correct answer. We will prove this by taking an example, Let…

Q: n2 3" 1) > 6n+1 n=1

A: Given query is to find the series converging or diverging.

Q: Q.1. Determine whether the sequence converge or diverge. If it converges, find the limit: n3+1 (a).…

A: Find whether the sequence converge or diverge. If it converges, find the limit:

Q: 1 B) V27n2 13. n=1

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Q: 1 + 4n² 1 + n? An %3D

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Q: b) E, 2n-1

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Q: Diin (n) Converges or diverges (n+4)3 21

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: n2 Determine if the sequence a, 2n –1 converges or diverges

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Q: Vn7 +n Vnº + n5 n=1

A: Let's find.

Q: n² +1 rove that the sequence {an},n=1 converges by following the following sequence of steps. n n=1…

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Q: Does it converge or diverge? Σ 2 + 2n' n=2

A: Given series is ∑n=2∞n2+2nn

Q: Decide whether the given sequence or series is convergent or divergent. If convergent, enter the…

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Q: ii. ) -3(n+1) -3n e n=1 If it converges, state the number that it converges to. If it diverges to,…

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Q: { 2 An – 4 converges to 7, then the - If the sequence An + 2 sequence {an} converges to 9.

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Q: Vn2 + 1 Prove that the sequence {an}n=1 converges by following the following sequence of steps. n…

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Q: 6n State whether the sequence ɑn = converges and, if it does, find the limit. V25 n² + 1

A: Given : an = 6n25n2+1

Q: Determine whether the sequence converges or diverges. If it converges, find the lim 3+5n 2n +n? 3.…

A: Consider the sequence  b)an=3+5n32n+n2

Q: Write the first five terms of the sequence: |{Vn² +7n Determine whether the sequence converges, and…

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Q: Determine whether each statement is true or false. If the statement is true, prove it. If the…

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Q: n? Use an appropriate method to determine if converges or diverges. n³ +1

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Q: Write the first five terms of the sequence: +o0 {vn² + 2n – n}, Determine whether the sequence…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.