It is equal to .
I am supposed to tell whether this converges or diverges and if it converges tell what it converges to. I'm unclear on how to do the last part.
the summation from n=0 to infinity of 3^(n+1)/4^(n-2)
I used the ratio test and found that it converges. I don't know what to do now.
Well, write it all out.
Now factor the later part like
The sum in parenthesis is geometric. You should know that 1+r+r^2+...=1/(1-r) for |r|<1. So in this case
Now what does this expression equal?
Get it? You probably shouldn't wait until the morning before to figure this stuff out :/