Use the ratio test to find whether the series diverges or converges.

Question

1/5^n (1 to infinity)

I think the limit converges to 1/5, so the series converges.

Answer 1

No, that is a different Anonymous. I'm still not sure about my answer.

Answer 2

an+1 = 1/5^(n+1)
an = 1/5^n

an+1/an = 5^n/5^(n+1) = 1/5 indeed
so it converges

Answer 3

thank you