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Mathematics
Problem
Which of the following gives the value of
∑
k
=
1
n
k
2
\displaystyle\sum_{k=1}^{n} k^{2}
k
=
1
∑
n
k
2
? a)
n
(
n
+
1
)
(
2
n
+
1
)
3
\dfrac{n(n+1)(2n+1)}{3}
3
n
(
n
+
1
)
(
2
n
+
1
)
b)
[
n
(
n
+
1
)
2
]
2
\left[\dfrac{n(n+1)}{2}\right]^2
[
2
n
(
n
+
1
)
]
2
c)
n
(
n
+
1
)
(
2
n
+
1
)
6
\dfrac{n(n+1)(2n+1)}{6}
6
n
(
n
+
1
)
(
2
n
+
1
)
d)
n
(
n
+
1
)
2
\dfrac{n(n+1)}{2}
2
n
(
n
+
1
)
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