For the series

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

Problem

For the series

\displaystyle\sum_{k=1}^{\infty} a_k

, which of the following correctly defines the

n

th partial sum

S_n

? (a)

S_n=\displaystyle\sum_{k=n}^{\infty} a_k

(b)

S_n=\displaystyle\sum_{k=1}^{n} a_k

(c)

S_n=\displaystyle\lim_{k\to\infty} a_k

(d)

S_n=\displaystyle\sum_{k=0}^{n} a_k