Difference between revisions of "2021 JMPSC Sprint Problems/Problem 11"

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==Solution==
 
==Solution==
 
The perfect squares are from <math>3^2</math> to <math>50^2</math>. Therefore, the answer is the amount of positive integers between <math>3</math> and <math>50</math>, inclusive. This is just <math>50-3+1=\boxed{48}</math>.
 
The perfect squares are from <math>3^2</math> to <math>50^2</math>. Therefore, the answer is the amount of positive integers between <math>3</math> and <math>50</math>, inclusive. This is just <math>50-3+1=\boxed{48}</math>.
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==See also==
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#[[2021 JMPSC Sprint Problems|Other 2021 JMPSC Sprint Problems]]
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#[[2021 JMPSC Sprint Answer Key|2021 JMPSC Sprint Answer Key]]
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#[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]]
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{{JMPSC Notice}}

Revision as of 16:14, 11 July 2021

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


See also

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

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