Happy New Year 2024 as a Tetrahedral Number
2024 is a tetrahedral number, it is the sum of the first 22 triangular numbers, where the nth triangular number is the sum of the first n positive integers. So T1=1, T2=1+2, T3=1+2+3, ... and T22=1+2+3+...+21+22, and 2024 = T1+T2+T3+...+T22.
To see a visual proof of a formula for computing the sum of the first n triangular numbers, check this video out:
• Sum of Triangular Numbers I (visual p...
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