Expand then write the expansion again underneath but with the terms in the reverse order.

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

1. Expand ∑k=1n2k\sum_{k=1}^{n} 2k then write the expansion again underneath but with the terms in the reverse order. (1) Expand ∑k=1n2k\sum_{k=1}^{n} 2k then write the expansion again underneath but with the terms in the reverse order. (2) Add the terms vertically, and hence write an expression for the sum SnS_n of the first nn even integers.

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