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Mathematics
Problem
Evaluate the finite sum
∑
k
=
0
7
5
(
3
2
)
k
.
\sum_{k=0}^{7} 5\left(\dfrac{3}{2}\right)^{k}.
k
=
0
∑
7
5
(
2
3
)
k
.
Present your solution in the following order: (i) identify the first term and common ratio, (ii) calculate the required sum, and (iii) state the exact numerical value obtained.
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