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Mathematics
Problem
Determine the value of the convergent series
∑
n
=
0
∞
5
(
2
3
)
n
+
1
\displaystyle \sum_{n=0}^{\infty} 5\left(\dfrac23\right)^{n+1}
n
=
0
∑
∞
5
(
3
2
)
n
+
1
. a)
15
15
15
b)
10
10
10
c)
20
3
\dfrac{20}{3}
3
20
d)
25
3
\dfrac{25}{3}
3
25
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