Prove that for any integer
𝑛
n, the sum of the cubes of the first
𝑛
n natural numbers is given by the formula:
(
∑
𝑘
=
1
𝑛
𝑘
3
)
=
(
𝑛
(
𝑛
+
1
)
2
)
2
(
k=1
∑
n
k
3
)=(
2
n(n+1)
)
2
Try proving this by induction or finding an alternative method!
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