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MathNet 2009-part-05 — 172 problems (EN–VI) Question 11

Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)

Question 11

Compute
$$
1 \cdot 2^{2} + 2 \cdot 3^{2} + 3 \cdot 4^{2} + \cdots + 19 \cdot 20^{2}
$$