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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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What is the maximum value of the sum of initial terms of the arithmetic progression (100,94,88,\ldots)?

Answer and explanation

Correct answer: (901)

The sum is (S_n=n(103-3n)), and the maximum (901) occurs at (n=17). Exam tip: check integer values near the vertex.

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Ap Maximum-Sum 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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