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Hi, I'm going to try to post this question again, hopefully it is more clear this time. I'm not sure how to approach this question, or really, what this question is asking me!

1. The problem statement, all variables and given/known data

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.

(Note: This is a general formula that I remember from grade 12 math where a is the first term in a sequence, and r is the constant ratio between subsequent terms. Correct me if I'm wrong .)

The difference between the n-th terms of two particular series is greater than 14 for some values of n (where n is a Natural number). 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 than 14.

2. Relevant equations

3. The attempt at a solution

I'm hooped.

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# Sequences and series - try again

**Physics Forums | Science Articles, Homework Help, Discussion**