# RPS #007 - A Little Harder Than The #006 One

Algebra Level 3

Let $$F_k(n)$$ denotes the $$n^{th}$$ term of the series $$F_k$$ for every positive integer $$n$$

If the $$n^{th}$$ term of series $$F_1$$ defined as $$F_1(n) = n$$, and $F_{k+1}(n) = \sum_{i=0}^{n-1} F_k(1+i)$Find the value of $$F_{2015}(3)$$

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