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Class 10 Mathematics Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APExpert

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If (S_n=10n-2n^2) for an arithmetic progression, what is the maximum value of the sum of initial terms?

Answer and explanation

Correct answer: (12)

(S_2=12) and (S_3=12), while the sum decreases afterward, so the maximum is (12). Exam tip: check nearby integer values around the vertex.

Related tags

Ap Quadratic-Maximum Expert Finding The Sum Of The First $N$ Terms Of An Ap Finding The Sum Of The First N Terms Of An Ap Arithmetic Progressions (Ap)Arithmetic Progressions Ap Mathematics

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