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SASMO 2020 Grade 7 Question 20

SASMO · SASMO 2020 Grade 7

Question 20

Define $\{n\}=1+3+5+\cdots+(2n-1)$ for positive integers n. For example, $\{5\}=1+3+5+7+(2\times5-1)$. If $\frac{\{m\}}m+m=2020$, find m.

Answer format: enter one whole number without units. The printed paper uses four answer-sheet digits with leading zeros when needed; ordinary numeric entry is used here.