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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=3n^2+4n) for an arithmetic progression, what is the sum from the (16)th to the (25)th terms?

Answer and explanation

Correct answer: (1240)

The required sum is (S_{25}-S_{15}=1975-735=1240). Exam tip: use the difference of cumulative sums for middle terms.

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Ap Cumulative-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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