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Mathematics
Mathematics
Problem
Prove that
∑
k
=
1
n
(
2
k
−
1
)
=
n
2
\displaystyle \sum_{k=1}^{n}(2k-1)=n^{2}
k
=
1
∑
n
(
2
k
−
1
)
=
n
2
.
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