Use the ratio test to determine whether each series is convergent or divergent.
4/(1*2*3) + 8/(1*2*3*4) + 16(1*2*3*4*5) + ...
How exactly do I do this? The example problem says to first find the nth term, but I don't know how.
Help is much appreciated.
looking at the pattern,
t(n) = 2^(n+1) / (n+2)!
that should get you started.