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AIMO 2021 Secondary 3 — Preliminary (Open Trial 1) Question 8

AIMO · AIMO 2021 Secondary 3 — Preliminary (Open Trial 1)

Question 8

Evaluate $2^2+4^2+6^2+\cdots+98^2+100^2-(1^2+2^2+\cdots+49^2+50^2)$.

Original printed choices: A: 42925; B: 131325; C: 42920; D: 130050.

Editorial format: answer directly; the printed choices are retained for source fidelity. See the solution for the source issue.