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5 days ago
Here’s where it gets cool. 45 is the sum of the first nine integers (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9), so 2025 is equal to the square of the sum of the first nine integers:
2025 = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)2
But it’s also equal to the sum of the first nine integers cubed:
2025 = 13 + 23 + 33 + 43 + 53 + 63 + 73 + 83 + 93
WHAT.