The expression can be written in compact sigma notation

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

The expression 4+7+10+13+…+(3n+1)4+7+10+13+\ldots +\bigl(3n+1\bigr) can be written in compact sigma notation. Which of the following is the correct representation? (a) ∑k=0n(3k+1)\displaystyle\sum_{k=0}^{n}(3k+1) (b) ∑k=1n(3k+4)\displaystyle\sum_{k=1}^{n}(3k+4) (c) ∑k=1n(3k+1)\displaystyle\sum_{k=1}^{n}(3k+1) (d) ∑k=1n+1(3k+1)\displaystyle\sum_{k=1}^{n+1}(3k+1)

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