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Second power sum/By induction/Exercise
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From Wikiversity
Prove, by induction, the following formula.
∑
i
=
1
n
i
2
=
n
(
n
+
1
)
(
2
n
+
1
)
6
.
{\displaystyle {}\sum _{i=1}^{n}i^{2}={\frac {n(n+1)(2n+1)}{6}}\,.}
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Category
:
Mathematical exercise
