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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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For the arithmetic progression (4,9,14,\ldots), after how many first terms will the sum exceed (1500) for the first time?

Answer and explanation

Correct answer: (25)

(S_{24}=1476) and (S_{25}=1600), so the sum first exceeds (1500) at (n=25). Exam tip: check nearby integers in boundary questions.

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Ap Least-N 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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