• show that the sequence is convergent (don't evaluate the limit, just show convergence) • Upload your solution (with all details and explanations) as a pdf file (you should use "adobe scan" on your cell phone just like the midterm ). 1 1 1 1 1 X1 = X2 = 3 X3 = 4 + + 4 5

Q: Prove that the sequence ((-1)")=1 does not converge to any number.

A: Solution :- The given sequence is                          {  an }   =   { (-1)n}  then , we have to…

Q: A decreasing sequence where cn is greater than or equal to 1 for all n. If this sequence could…

A: A decreasing sequence where cn is greater than or equal to 1 for all n. That is, cn≥1, the sequence…

Q: ∑(sqrt(n+1) - sqrt(n))/sqrt(n2+n) does it converge or diverge? (show each step please)

A:

Q: Whst is the exact value of the limit of the sequence (7^(n+1)-7)/7^n?

A:

Q: Find the limit of the sequence when the nth term is given.  a sub n = 3^n+2/5n

A: The solution are next step

Q: The third term of a G.P. is 12 and 6th term is 96. Find the sum of nine terms afist alumo adT (8)…

A: Consider the provided question, The nth term of G.P is given by, an=arn-1where, a is the first termn…

Q: What is an example of a sequence that converges to 5?

A: A sequence is convergent to a point "P" , if there is a point "P" which repeats infinitely many…

Q: Determine whether the sequence is monotonic and whether it is bounded. sinyn an

A: It is required to check whether the given sequence is monotonic and bounded.

Q: What is the exact value of the limit of the sequence -n^3/(n^4+1)?

A: To determine the value of the limit.

Q: Formulas that may be useful: a_(n)=a_(1)+(n-1)d a_(n)=ar^(n-1) Find the indicated for the following…

A: As we know that nth term of airthmatic sequence an = a + ( n - 1 )dnth term of geometric sequence an…

Q: (-9)"+1 Let an 10n Determine whether the sequence {an} is convergent or divergent. If it is…

A: an=(-9)n+110n A sequence is convergent if value of limit is define and finite as n approaches to…

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

A:

Q: > The sequence {sin)} is n31 (i) Converge (ii) Diverge

A:

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

A: Please find the answer in next step.

Q: {1,0,1,1,0,1,1,0,...}

A:

Q: or converges

A:

Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

A:

Q: Write the indicated term of the given sequence. a=12,24,36,48;a^(2) No hand written solution and no…

A: To find a2 ?

Q: Can you further share how to find a convergent sequence

A: Given sequence  by  Here we consider two subsequences .Noted that A sequence  is convergent   are…

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.