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Mathematics
Problem
In one or two sentences, explain why the infinite series
∑
n
=
0
∞
a
r
n
\displaystyle \sum_{n=0}^{\infty} ar^{n}
n
=
0
∑
∞
a
r
n
diverges when
∣
r
∣
≥
1
|r|\ge 1
∣
r
∣
≥
1
.
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