# Writing the sum of a series as a function of x

1. Jan 4, 2010

### me_and_you

1. The problem statement, all variables and given/known data
Find all the values for which the series (where n=1 to infinity) $$\sum((2x-3)/5)^n$$ converges. For these values of x, write the sum of the series as a function of x in simplified form.

this is just a geometric series. remember $$\sum_{n=0}^{\infty} y^n$$ coverges iff |y|<1.