Question

How many squires are there ;)

Answer 1

count top row
count column row
multiply the numbers

Answer 2

:O hehe
take all properties xD

Answer 3

I'm too lazy to count the squares, and assuming the whole overall shape is a square and not a rectangle, then the answer is: \[\Large \frac{n(n+1)(2n+1)}{6}\]

Answer 4

hahahaha x'd

Answer 5

but I want to find the general result when the large thingy is an n x m rectangle, so I'm still trying to find a more general answer...!

Answer 6

sow how did you know that its the squires series ?

Answer 7

i just found it and thought its cool to share :O

Answer 8

General form! for m>n rectangle: \[\Large (m-n)\frac{n(n+1)(2n+1)}{6}\]

Answer 9

interesting

Answer 10

I just started with a small case and worked my way up knowing smaller ones would form larger ones like this: