Explain what conclusion can be drawn about the infinite series if its sequence of…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Explain what conclusion can be drawn about the infinite series

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

if its sequence of partial sums satisfies

\displaystyle \lim_{n\to\infty} S_n = 7

, where

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