Difference between revisions of "2021 JMPSC Sprint Problems/Problem 11"
(→Solution) |
|||
| Line 4: | Line 4: | ||
==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>. | ||
| + | |||
| + | |||
| + | |||
| + | ==See also== | ||
| + | #[[2021 JMPSC Sprint Problems|Other 2021 JMPSC Sprint Problems]] | ||
| + | #[[2021 JMPSC Sprint Answer Key|2021 JMPSC Sprint Answer Key]] | ||
| + | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
| + | {{JMPSC Notice}} | ||
Revision as of 17:14, 11 July 2021
Problem
How many numbers are in the finite sequence of consecutive perfect squares ![\[9, 16, 25, \ldots , 2500?\]](http://latex.artofproblemsolving.com/0/1/f/01f9f1e62863b82d5548bc8d8a32e611c94449ca.png)
Solution
The perfect squares are from 
to 
. Therefore, the answer is the amount of positive integers between 
and 
, inclusive. This is just 
.
See also
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition. 
