Discovered this pattern while working on a math problem

Main Question or Discussion Point

THERE IS A PATTERN IN SQUARED NUMBERS
0x0 =0
+1
1x1 =1
+3
2x2 =4
+5
3x3 =9
+7
4x4 =16
+9
5x5 =25

I discovered this pattern while working on a math problem my math eacher gave me.
I thought it is interesting
 

Answers and Replies

2,208
1
I believe it was archimedes who first discovered that pattern. The difference of consecutive squares spell out the odd numbers.
 
honestrosewater
Gold Member
2,071
5
(x + 1)2 - x2 = x2 + 2x + 1 - x2 = 2x + 1. :smile:
 
I never said that I was the first to discover it I just said I discovered it doing math home work.
 
2,208
1
So, congratulations? We were just giving you some history and elaboration.
 

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