Where does this sequence converge?

1. Dec 11, 2011

Teachme

1. The problem statement, all variables and given/known data
Does the sequence 1 + .4 + .16 +.064 Converge and where if so?

So I started this problem out by making the a series equation
Ʃ.4^n
Where n=0
So since i believe this is the series equation for this sequence I now know that it does in fact converge because -1 < .4 ≤ 1. So i know that this converges but how do i find out exactly where it converges?

2. Dec 11, 2011

Simon Bridge

3. Dec 11, 2011