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Mathematics
Mathematics
Problem
Evaluate the finite series
∑
k
=
1
n
k
2
k
−
1
\displaystyle \sum_{k=1}^{n} k\,2^{k-1}
k
=
1
∑
n
k
2
k
−
1
and write your answer as an explicit function of
n
n
n
.
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