# Thread: Find the sum of the series

1. ## Find the sum of the series

Consider the equation and find the value of C

The summation to infinity with n=2, of (1+c)^-n = 3

Sorry I'm not sure how to put up all the symbols, but hopefully I've explained it well enough. Thanks

2. Originally Posted by blooke
Consider the equation and find the value of C
The summation to infinity with n=2, of (1+c)^-n = 3
Sorry I'm not sure how to put up all the symbols
Here is the LaTeX code.
$$\sum\limits_{n = 2}^\infty {\frac{1}{{\left( {1 + c} \right)^n }}} = 3$$ gives $\sum\limits_{n = 2}^\infty {\frac{1}{{\left( {1 + c} \right)^n }}} = 3$.
Note that $\sum\limits_{n = 2}^\infty {\frac{1}
{{\left( {1 + c} \right)^n }}} = \frac{{\frac{1}
{{\left( {1 + c} \right)^2 }}}}
{{1 - \frac{1}
{{1 +c}}}},~c>0$