Posted by **liza** on Wednesday, December 29, 2010 at 5:56pm.

the "k"th term of a series, Sk=a 1-r^k/1-r, is the sum of the first "k" terms of the underlying sequence. the difference between the "n"th terms of two particular series is greater than 14 for some values of n (is an element of) N. the series with general term tn=100 (11/17)^n-1 begins larger than the second series with general term tn=50(14/17)^n-1. find the largest natural number, "k", where the difference between the terms of these two series is larger then 14

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