Just thought that was kind of neat, so I decided to share.. though lots of people on this forum probably already knew this .

But you made an original (for you) discovery and that's great!

Bob

]]>The right term is perfect square

**Theorem** The sum of first n odd numbers is n[sup]2[/sup]

**Proof** The first n odd numbers form an arithmetic progression starting from 1, with common difference 2 and n terms.

Thus, the sum of the numbers is

]]>I still like it, however finding time is harder.

So back on topic, I was playing around in excel and happened to notice a peculiar thing with square roots.. maybe not particularly useful or exciting, but neat.

Here is what I found,

If you start with your first perfect square root 1 it takes 1 number to get there(from 0)

Next perfect square root, 4, will take 3 numbers to get to from the last perfect square root(1+3=4)

Next perfect square root, 9, will take 5 numbers to get to from the last perfect square root(4+5=9)

see the pattern yet?

to find the perfect square roots you just need to be able to add and understand odd numbers..

1=1

1+3=4

1+3+5=9

1+3+5+7=16

1+3+5+7+9=25

1+3+5+7+9+11=36

Just thought that was kind of neat, so I decided to share.. though lots of people on this forum probably already knew this =P.

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