The series is represented by which sigma notation?

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

The series

3 + 6 + 12 + 24 + \cdots + 192

is represented by which sigma notation? (a)

\displaystyle\sum_{k=1}^{6} 3\cdot 2^{k}

(b)

\displaystyle\sum_{k=0}^{5} 3\cdot 2^{k}

(c)

\displaystyle\sum_{k=0}^{6} 3\cdot 2^{k}

(d)

\displaystyle\sum_{k=1}^{6} 3\cdot 2^{k-1}