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

Algebra ->  Sequences-and-series -> 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       Log On


   



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 +%28-1%29%5Ek%2FS+ where k is from +1+to+inf+?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

Let k = 1, 2, 3, 4, 5, ...
Then for an infinite geometric series with g%5B1%5D+=+k and r+=+k%2F%28k%2B1%29+%3C1, then for abs%28r%29+%3C+1,


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