Question

8. Consider the sequence sn = (−1)^n (1/2)^n , n ≥ 1.

(a) Find the first five terms of the sequence.

(b) Find a recursive definition for the sequence.

(c) Does the sequence converge or diverge? If the sequence converges, find the limit. Justify your conclusions rigorously.

ts) Consider the sequence s(1)"(1/2)", n 21 (a) Find the first five terms of the sequence. (b) Find a recursive definition for the sequence. nd the limit. Justify your (c) Does the sequence converge or diverge? If the sequence converges, f conclusions rigorously