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Mathematics
Problem
For a geometric series
∑
n
=
0
∞
a
r
n
\sum_{n=0}^{\infty} ar^{n}
∑
n
=
0
∞
a
r
n
to converge, which of the following conditions on
r
r
r
must be satisfied? a)
r
<
1
r<1
r
<
1
b)
∣
r
∣
≤
1
|r|\le 1
∣
r
∣
≤
1
c)
∣
r
∣
<
1
|r|<1
∣
r
∣
<
1
d)
r
>
1
r>1
r
>
1
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