+0  
 
-2
25
1
avatar+1347 

Find the number of perfect squares less than $100$ that can be represented as the difference of two consecutive perfect squares.

 Aug 13, 2023
 #1
avatar+129659 
+1

None will be even since either  even^2 - odd^2    or  odd^2 - even^2    are both odd

 

1 = 1^2  - 0^2

9 =  5^2 - 4^2

25 = 13^2 - 12^2

49 = 25^2 - 24^2

81 = 41^2 - 40^2

 

cool cool cool

 Aug 13, 2023

8 Online Users

avatar
avatar
avatar
avatar
avatar