Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**TheTick****Member**- Registered: 2012-12-03
- Posts: 27

So first off I have not posted here for a LONG time, ever since I switched my major to nursing I have been quite busy and exposed to and needing to do much less maths than before(previous major was architecture.)

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.

*Last edited by TheTick (2014-02-11 13:09:51)*

Spooooon!!!

Offline

Welcome back!

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

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,878

And here in pictures.

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

*Last edited by bob bundy (2014-02-11 21:18:06)*

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

Pages: **1**