Identify the correct sigma notation for the sum of the first terms of an arithmetic…

MATHEMATICS · Single correct · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Identify the correct sigma notation for the sum of the first nn terms of an arithmetic progression with first term aa and common difference dd. (a) ∑k=0n[a+kd]\displaystyle\sum_{k=0}^{n}[a+kd] (b) ∑k=1n[a+kd]\displaystyle\sum_{k=1}^{n}[a+kd] (c) ∑k=1n[a+(k−1)d]\displaystyle\sum_{k=1}^{n}[a+(k-1)d] (d) 12∑k=1n[2a+(k−1)d]\displaystyle\dfrac{1}{2}\sum_{k=1}^{n}[2a+(k-1)d]

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