Write correct answer choice; show all work; clearly; this is not grade still need help

Question

#6 If A to the nth term is > 0 for all n and lim n approaches infinity (a to nth term +1)/(a to nth term) = 3, which of the following series converges

1. Series 1 is the lower limit ; ∞ is the upper limit ; function is a to the nth term
2. Series 1 is the lower limit ; ∞ is the upper limit ; function is (a to the nth term)/(n^5)
3. Series 1 is the lower limit ; ∞ is the upper limit ; function is (a to the nth term )/(5^n)
4. Series 1 is the lower limit ; ∞ is the upper limit ; function is (a to the nth term )^2/(5^n)

Answer 1