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Mathematics
Mathematics
Problem
Determine the least integer
N
N
N
such that the partial sum
S
N
S_N
S
N
of the geometric series
∑
n
=
0
∞
5
(
2
5
)
n
\displaystyle \sum_{n=0}^{\infty} 5\left(\tfrac{2}{5}\right)^{n}
n
=
0
∑
∞
5
(
5
2
)
n
approximates the sum of the series to within
0.01
0.01
0.01
.
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