# Thread: Alternating Series

1. ## Alternating Series

These problems are in the alternating series section of my calc book but they are not necessarily alternating. How would you figure out if they converge, converge absolutely or diverge and what test would you use?

problem 1
n=1 to infinity
a(sub)1=5 a(sub)n+1= ((n to the nth root)/2) a(sub)n

problem 2

n=1 to inifinity (-1)^n+1 (ln n/n)

2. Originally Posted by TAG16
problem 1
n=1 to infinity
a(sub)1=5 a(sub)n+1= ((n to the nth root)/2) a(sub)n
Sorry to tell you but that means next to nothing.
Is it $a_{n + 1} = \frac{{\sqrt[n]{n}}}
{2}\left( {a_n } \right)$
?
If not, what in the world is it?