determine if the sequence converges or diverges 8,108,208,308,408,…

Q: n+1 n+1

A: As per the instruction, we will be answering only the first one. For (1),     limn→∞…

Q: Determine whether the sequence is convergent or divergent.

A:

Q: determine the limit of the sequence or show that the sequence diverges. an = 21/n2

A: Given that, an=21n2

Q: Determine whether sequence having the given nth term is monotonic           an = 3 + (−1)n

A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.

Q: Find the 4th term in the sequence with the following definition:

A:

Q: Determine if the sequence is bounded and if it is monotonic. Determine if the sequenc converges and…

A: The given sequence is: an=(-1)nn100 Now, the terms of the sequence are: a1=-1,a2≈1.00,…

Q: Find the nth term an of a sequence whose first four terms are given. 2, 4, 8, 16,....

A:

Q: determine the limit of the sequence or show that the sequence diverges. an = √n + 5 − √n + 2

A: Determine the limit of the sequence or show that the sequence diverges. an = √n + 5 − √n + 2

Q: Determine whether the sequence converges In n 2) a, n

A:

Q: Determine the nth-term formula for the given sequences, then compute for the 50th term. 9. 1,5, 11,…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 8. Determine whether the sequence an n3" %3D converges or diverges.

A:

Q: Find a sequence {an} whose first five terms are                                                 2/1…

A:

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges,…

A: Given that: 13lnnnn=1∞

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given : -1,-5,-9,-13,-17

Q: Determine if the sequence converges or diverges. -30,-14,-6,-2,0,…

A:

Q: 51. аn 2" +3" %3D 4"

A: We have to find the limit of sequence

Q: Does the sequence an converge? n(n+1) If so, what does it converge to?

A: We need to verify whether the given sequence converges or not. So,

Q: Determine if the sequence converges or diverges: In n n2

A: To check whether a sequence is convergent or divergent first calculate its limit if limit is finite…

Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: Determine the convergence or divergence of the sequence whose nth term is An=sqrt(n+2)-sqrt(n). If…

A:

Q: Determine whether the sequence {(3" + 5")/"} is convergent or not.

A:

Q: determine the limit of the sequence or show that the sequence diverges.

A:

Q: Give an example of a single sequence that meets all the following criteria, or explain why this is…

A: This is not possible.   Result : every bounded below and decreasing sequence of real numbers are…

Q: 4. Give an example of an unbounded sequence that has a convergent subsequence.

A: If a sequence is not bounded, it is an unbounded sequence.  .Now we will give the example to the…

Q: Determine whether the sequence {√n+2−√n+1} converges or diverges.

A: To check for the convergence of the given sequence, we find the following limit: To calculate the…

Q: What is a sequence that can be graphed that converges to 5?

A: Please find the answer in next step.

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 6, г a = -

A: The geometric sequence with a=6, r=28

Q: 1. Determine if the sequence converges or diverges and show how you arrived at the conclusion In n…

A:

Q: determine whether the sequence is monotonic,whether it is bounded, and whether it converges. an = (n…

A:

Q: Find the first four terms of the sequence defined by а, — 3 %3D а, 3 За, —1 + 2, for all n > 1

A:

Q: Is the sequence a, convergent or divergent? Exp n+1

A: The given sequence is

Q: 00 Ink

A:

Q: Determine if the following sequence converges or diverges. If it converges, state the value it…

A: The solution for the above question is shown below.

Q: Find the fifth term in the sequence that is defined as follows: an = n² + 2

A:

Q: 7. Provide an example of a monotonic decreasing sequence that converges to 1.

A:

Q: Does the sequence{an}converge or diverge? If it converges, what does it converge to?If it diverges,…

A: Given, an=nln(n)

Q: Determine which of the sequence coverage or diverge?

A:

Q: 8. Determine whether the sequence a, = n3" converges or diverges. 4n

A:

Q: Find the infinite sum of the geometric sequence with 3 if it exists. a = 2, r =

A:

Q: converges

A:

Q: 5) Determine whether the sequence converges or diverges. If it converges, find the limit. n3 An n +

A: Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: Find a convergent subsequence of the sequence {(-1)" (1 – 4)}, -

A: We need to find a convergent subsequence of {(-1)n(1-1n)}n=1∞.

Q: 3n3 – 2n + 1 n² – n3 n=1

A:

Q: Construct a sequence having {0,1,3,6,20} as its set of accumulation points.

A: Construct a sequence a_n = { b1, c1, d1, e1, f1, b2, c2, d2, e2, f2, b3, c3, d3, e3, f3,....., bn,…

Q: determine whether the sequence {√ n+2 - √ n+1} is convergent or divergent

A:

Q: How can you know if a sequence diverges or converges?

A: Answer :  We can know that a sequence is  diverges or converges ,  We have to remember that of a…

Q: 8. Determine whether the sequence an n3n converges or diverges. %3D

A: