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Math Help - Find the sum of the series

  1. #1
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    Post 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
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  2. #2
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    Quote Originally Posted by blooke View Post
    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.
    [tex]\sum\limits_{n = 2}^\infty {\frac{1}{{\left( {1 + c} \right)^n }}} = 3[/tex] gives \sum\limits_{n = 2}^\infty  {\frac{1}{{\left( {1 + c} \right)^n }}}  = 3.
    Note that \sum\limits_{n = 2}^\infty  {\frac{1}<br />
{{\left( {1 + c} \right)^n }}}  = \frac{{\frac{1}<br />
{{\left( {1 + c} \right)^2 }}}}<br />
{{1 - \frac{1}<br />
{{1 +c}}}},~c>0
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