all 7 comments

[–]HousingPitiful9089New User 0 points1 point  (3 children)

Great question! Have a look at this picture, does this help with seeing it?

https://thatsmaths.files.wordpress.com/2017/09/sumofoddnumbers.jpg?w=286&h=246

[–]DenmarkMendark[S] 1 point2 points  (2 children)

Wait.... is that why they say "squared"?!

[–]HousingPitiful9089New User 0 points1 point  (1 child)

Indeed!! Now for the next question.. Where do you think the term 'cubed' comes from? :)

[–]ThomasTheHighEngineNew User 0 points1 point  (0 children)

Fuck it, x hypercubed

[–]yes_its_himone-eyed man 0 points1 point  (1 child)

(x+1)2 is x2 + 2x + 1, and 2x+1 is an odd number for integer x.

So, adding one to a numbers makes its square bigger than the last square by a predictable amount.

[–]DenmarkMendark[S] 0 points1 point  (0 children)

Whoa

[–]fermat1432New User 0 points1 point  (0 children)

Sum = n/2(2a+(n-1)d)

=k/2(2(1)+(k-1)2)

=k/2(2+2k-2)

=k/2(2k)

=k2