Question: Consider the following four equations: 1) 1 = 1 2) 2 + 3+ 4= 1 + 8 3) 5 + 6 + 7 + 8

Consider the following four equations:
1) 1 = 1
2) 2 + 3+ 4= 1 + 8
3) 5 + 6 + 7 + 8 + 9 = 8 + 27
4) 10 + 11 + 12 + 13 + 14 + 15 + 16 = 27 + 64
Conjecture the general formula suggested by these four equations, and prove your conjecture.

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