Question

Determine whether the following series converge or diverge
Sum (n^2+3n)/(3^n) n=1 to inf

Answer 1

I'm thinking maybe I need to do a comparison test? and do a/3n but what would a be? since the numerator seem like it can go on to infinity. Or is there another test I should use?

Answer 2

divergent i think

n^2 is faster than 3^n, so taken to infinity there would be no finite answer

Answer 3

hmm not getting that / don't understand.

Answer 4

ratio test will work

Answer 5

I got 1/3 which is <1 so its abs convergent ! ? or am I wrong

Answer 6

correct

Answer 7

YAY! thanks! :-)

Answer 8

no problem

Answer 9

or you can always do an integral test