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'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,071

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)*

Children are not defined by school ...........The Fonz

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

Offline

Pages: **1**