Find the sigma notation that represents the arithmetic series .

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

Problem

Find the sigma notation that represents the arithmetic series

2 + 5 + 8 + 11 + \cdots + 29

. (a)

\displaystyle\sum_{k=1}^{10} 3k

(b)

\displaystyle\sum_{k=0}^{9} (2 + 3k)

(c)

\displaystyle\sum_{k=1}^{10} (2 + 3k)

(d)

\displaystyle\sum_{k=0}^{8} (2 + 3k)