Consider the sequence defined recursively by s₁ = 1 and sn= s n-1 + 2(n-1) for n ≥ 2. (a) Give the first four terms of the

Question

Consider the sequence defined recursively by s₁ = 1 and sn= s n-1 + 2(n-1) for n ≥ 2.
(a) Give the first four terms of the sequence, s1, s2, s3 and s4.
s1:
s2:
s3:
s4
(b) is the sequence monotone? Enter Yes or No.
(c) Is the sequence bounded below? If so, enter a number M such that Msn for every n > 0. If not, enter No.
(d) is the sequence bounded above? If so, enter a number M such that sn≤M for every n ≥ 0. If not, enter No.
(e) Does the sequence converge? If so, enter the limit it converges to. If not, enter No.

Kunduz · Accepted Answer

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