Question

Determine whether the following series converge or diverge.∞ ∑ 1/n(6/5)^n n=1?
and
Determine whether the following series converge or diverge.∞ ∑ (-1)^n (1-1/n) n=1

Answer 1

∞ ∑ 1/n(6/5)^n n=1 diverges , because ratio of (n+1)th to nth term of given series is greater than 1.

Answer 2

∞ ∑ (-1)^n (1-1/n) n=1 should be converge , because ratio of (n+1)th term to nth term is decreasing.