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Mathematics
Problem
State the necessary and sufficient condition on the common ratio
r
r
r
for an infinite geometric series to have a finite sum. a)
∣
r
∣
≤
1
|r|\le 1
∣
r
∣
≤
1
b)
r
<
1
r<1
r
<
1
c)
∣
r
∣
<
1
|r|<1
∣
r
∣
<
1
d)
∣
r
∣
>
1
|r|>1
∣
r
∣
>
1
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