Choose the correct option in each of the statements below. 00 For any a>0, the series > [ Select ) n3+a n=1

Q: If ∑x_n and ∑y_n are convergent, show that ∑(x_n + y_n) is convergent.

A: The objective of this question is to prove that if the series of x_n and y_n are convergent, then…

Q: Use the root test to determine whether convergent or divergent from k=1 and ♾ of (9k+2/16k+1)^-k/2

A:

Q: show if it converges or diverges ∑(sqrt(n+1) - sqrt(n))/sqrt(n2+n)

A:

Q: 10 TJC Promo 9740/2006/Q6 A geometric progression has first term a (where a > 0), and common ratio…

A: Sum of the first n terms is given as

Q: (3n)" (2n + 50)" n=1

A:

Q: Converges or cliverges 2:0 Inci

A: Let's Solve,

Q: nsin(4/n) determine if the sequence converges or diverges.

A: I have given the answer in the next step. Hope you understand that

Q: 17. Divergent or convergent? If convergent, show the lim n3 + 2 an 2n3 + 1

A:

Q: Calculate the average rate of change for the graphed sequence fromn = 1 to n = 3. {(1, 2) , (2, 4) .…

A: Here we have to find the average rate of change.

Q: Σ k^ +k+k? uk=1 3k2-3k+7 100 converge or diverge?

A:

Q: Please do not give solution in image format thanku For a certian group, aggregated claims are…

A: we need to equate the expected costs of both proposals.Let's denote:X as the aggregated claims…