Determine the least integer such that the partial sum of the geometric series…

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Determine the least integer

N

such that the partial sum

S_N

of the geometric series

\displaystyle \sum_{n=0}^{\infty} 5\left(\tfrac{2}{5}\right)^{n}

approximates the sum of the series to within

0.01