Where does this sequence converge?

[Teachme]

Homework Statement

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?

 

[Simon Bridge]

Sum of a geometric series.
http://en.wikipedia.org/wiki/Geometric_series#Sum

 

[Poopsilon]

http://en.wikipedia.org/wiki/Geometric_series