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Mathematics
Problem
Determine the sum
∑
k
=
1
n
[
(
k
+
1
)
3
−
k
3
]
\displaystyle\sum_{k=1}^{n}\bigl[(k+1)^{3}-k^{3}\bigr]
k
=
1
∑
n
[
(
k
+
1
)
3
−
k
3
]
.
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