Explain in not more than three sentences why the expression represents the sum of the…

MATHEMATICS · Subjective · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Explain in not more than three sentences why the expression ∑k=1n[a+(k−1)d]\displaystyle \sum_{k=1}^{n}\bigl[a+(k-1)d\bigr] represents the sum of the first nn terms of an arithmetic progression with first term aa and common difference dd.

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