SOLUTION: If S is sum of infinite geometric series with first term k and common ratio is k/(k+1) with condition k > 0 then find the value of series {{{ (-1)^k/S }}} where k is from {{{ 1 to

Question 1184309: If S is sum of infinite geometric series with first term k and common ratio is k/(k+1) with condition k > 0 then find the value of series where k is from ?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

Let k = 1, 2, 3, 4, 5, ...
Then for an infinite geometric series with and , then for ,

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