HMMT November 2024 U16

Compute

$\frac{2+3+\cdots+100}{1}+\frac{3+4+\cdots+100}{1+2}+\cdots+\frac{100}{1+2+\cdots+99} .$

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

9900

Solutions

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