5" 13. an = 3n+1

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Firstly We will expand ln(n^5) = 5ln(n) Then we will find the limit , if limit is finite then…

Q: п+1 n Cn Зп + 2

A: Sequence

Q: An = n – Vn

A: Given query is to find sequence converges or diverges.

Q: 5) Determine whether the sequence converges or diverges. If it converges, find the limit An n +1

A: Given sequence an=n3n+1let  an≥0  and bn≥0  be two sequence  such that an>bnif  bn diverges then…

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

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 5+(-1)n an= Diverges

A: The given limit of the sequence is an=5+-1n5. The above sequences have two repeats values for all…

Q: 51. аn 2" +3" %3D 4"

A: We have to find the limit of sequence

Q: Determine whether the sequence is convergent or diver- gent. If it is convergent, find the limit. n³…

A: To Determine: find whether the sequence is convergent or divergent ,if it is convergent find the…

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 9n-7 an S+1n -7 9.…

A: Given  The sequence is an=9n-78+1n.

Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. an =…

A: If the limit of the sequence exists and finite then sequence is convergent.

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an=3-n 3 3. Diverges

A: Given: an=3-n

Q: 2n 27 1+ (b) а, :— n

A: The given sequence,an=1+2πn2n

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Definition:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an - 1)" for n =1, 2,…

A: we have to find

Q: Find the limit of the sequence if it converges; otherwise indicate it diverges. 7+4n an = 8+3n…

A: Given that, the sequence is        an = 7+4n8+3n we have to find the limit of the given…

Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit.

A: a sequence {Xn} is convergent if lim Xn tends to a finite value when n approach to infinity

Q: 11. Determine whether the sequence an = 8 + converges or diverges. If it converges, n find its…

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A:

Q: Determine whether the sequence an= 1^3/n^4+2^3/n^4+...+n^3/n^4 converges or diverges. If it…

A: To discuss the convergence or otherwise of the given sequence

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (-1)"

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 5n - 3 9+4 /n an 3…

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an =n - Vn2 - 18n…

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = 7 + (0.9)", for…

A:

Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. an =…

A: we have to find the limit of sequence

Q: = en an u,

A: Explanation of the answer is as follows

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: A monotonic decreasing (increasing) and bounded below(above) is convergent and converges to its…

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

A: Given that: an=(ln(n))2n

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

A: To determine whether the sequence converges or diverges.

Q: (-1)-', in a, 3D п? +1

A:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Consider the nth term is, an=71n Apply limits to the above equation. limn→∞an=limn→∞71n=71∞=70=1…

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an =n - Vn² - 18n 18…

A: an=n-n2-18n

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 30) an = n - Vn2 - 8n…

A:

Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. 5/n an

A: The given sequence is an=5n5/n If limn→∞ an exists and it is finite then sequence an is convergent…

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Solution:

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: an=n-4!n! apply limit limn→∞an =limn→∞n-4!n! as we know,  n!=1·2·3.....·(n-1)·n so here we can write…

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. 3n - 9 2 - 7/n an

A:

Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)" |1- 1 3 O…

A: we have  an=(-1)n1-3n

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: We will find the limit of an as n approaches infinity to check if the sequence converges or…

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

A: A sequence is said to be convergent if it approaches to some limit.

Q: help with cal hw. determine whether the sequence is converges or diverges. if it is converges, then…

A: The given sequence is as follows:dn=-14nπ

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

A:

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

A:

Q: Write the first five terms of the sequence: {√n² + n-n}_1 Determine whether the sequence converges,…

A:

Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit. an 21+3n =

A: Solution:an=21+3nnOn rewriting this equation, we get 21+3nn which turns into [21n(23)]Here 23=8 that…

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A:

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

A: Divergent test: If limn→∞an≠0 then ∑an is divergent.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = 4 +…

A: A sequence converges if it is finite when n is very large (infinite) , Diverges if limit is infinite…

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.