# Infinite geometric series

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1. Aug 4, 2015

### Niaboc67

x+x^2+x^3+x^4.... = 14

Find x

Could someone please provide an explanation on how to solve this?

2. Aug 4, 2015

### ShayanJ

The formula for infinite geometric series is $\displaystyle \sum_{n=0}^\infty a_n x^n =\frac{a_0}{1-x}$. But this is true only for $-1 < x < 1$. Just use this on the series to get an equation in a familiar form.

3. Aug 6, 2015