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Mathematics
Problem
Which of the following gives the sum to infinity of a convergent geometric progression with first term
a
a
a
and common ratio
r
r
r
? a)
a
(
1
−
r
n
)
1
−
r
\dfrac{a(1-r^{n})}{1-r}
1
−
r
a
(
1
−
r
n
)
b)
a
r
1
−
r
\dfrac{ar}{1-r}
1
−
r
a
r
c)
a
1
−
r
\dfrac{a}{1-r}
1
−
r
a
d)
a
1
+
r
\dfrac{a}{1+r}
1
+
r
a
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