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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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In an arithmetic progression the first term is (42) and the common difference is (-3). What is the sum of the first (25) terms?

Answer and explanation

Correct answer: (150)

(S_{25}=\frac{25}{2}[84+24(-3)]), so the sum is (150). Exam tip: handle the negative sign of the common difference carefully.

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Ap Negative-Difference 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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