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Evaluate and simplify your result.
MATHEMATICS · Subjective · ISC · Mathematics · Algebra · Algebra
Problem
Evaluate
∑
k
=
1
n
k
(
k
+
1
)
(
2
k
+
1
)
\displaystyle\sum_{k=1}^{n} k(k+1)(2k+1)
k
=
1
∑
n
k
(
k
+
1
)
(
2
k
+
1
)
and simplify your result.
Related theory
Special Series
The Binomial Theorem
Special sums
Algebra
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