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Hi, it's been a while since I've done questions such as the one below. Does anyone know how to solve it? (Note that k and n are actually sub-k and sub-n). Thanks in advance.

The kth 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 nth terms of two particular series is greater than 14 for some values of n (all of which are real numbers). The series with the 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 than 14.

I don't even understand what it's asking for :S Please dumb it down as much as you can, haha.

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Sequences and series

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