Head and Tail Removed

Problem

A sequence $\{a_n\}$ has partial sums $S_n$ , with $a_1 = 15$ and

(2n-5)\,a_{n+1} = (2n-3)\,a_n + 4n^2 - 16n + 15.

For positive integers $m \le n$ , find the minimum value of $S_n - S_m$ .

Answer

Solution

Difficulty	5/10
Topics	sequences

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