Minimizing $nS_n$

★ 5/10Arithmetic Progression Extrema sequences

Problem

The arithmetic sequence $\{a_n\}$ has partial sums $S_n$ with $S_{10} = 0$ and $S_{15} = 25$ . Find the minimum value of $nS_n$ .

Answer

Solution

Difficulty	5/10
Topics	Arithmetic Progression, Extrema, sequences

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