2021 JMPSC Sprint Problems/Problem 11

Problem

How many numbers are in the finite sequence of consecutive perfect squares $9, 16, 25, \ldots , 2500?$

Solution

The perfect squares are from $3^2$ to $50^2$ . Therefore, the answer is the amount of positive integers between $3$ and $50$ , inclusive. This is just $50-3+1=\boxed{48}$ .

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2021 JMPSC Sprint Problems/Problem 11

Problem

Solution