How to prove that ?

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- May 28th 2006, 08:54 AMOReillySum of odd integers
How to prove that ?

- May 28th 2006, 12:25 PMrgep
In a word: induction.

In a thousand words:

Code:`1 3 5 7 9`

3 3 5 7 9

5 5 5 7 9

7 7 7 7 9

9 9 9 9 9

- May 28th 2006, 05:32 PMSoroban
Hello, OReilly!

Here's one way . . .

Quote:

How to prove that: ?

. . with first term , common difference , and terms

Using the Sum formula: .

. . .