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..
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)
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
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda
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!
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