2021 JMPSC Sprint Problems/Problem 11


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


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 $50-3+1=\boxed{48}$.

See also

  1. Other 2021 JMPSC Sprint Problems
  2. 2021 JMPSC Sprint Answer Key
  3. All JMPSC Problems and Solutions

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