I noticed that whole numbers squared increase by the odd numbers. Halves increase by even numbers. Has anyone seen this in books anywhere?
1^2=1
2^2=4 . . . 4-1=3
3^2=9 . . . 9-4=5
4^2=16. . . 16-9=7
3, 5, 7, 9, 11, 13, 15
This pattern continues forever.
Also 0.5 squared equals 0.25,
1.5 squared equals 2.25,
2.5 squared equals 6.25
3.5 squared equals 12.25
2.25-0.25=2
6.25-2.25=4
12.25-6.25=6
2, 4, 6, 8, this pattern also continues.
I apologize for any mistakes, but I'm too tired to proofread this.
2007-07-29
15:50:26
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5 answers
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asked by
Anonymous
in
Mathematics