![[2024/05/09] Sum of n squares](https://lemmy.world/pictrs/image/923895bb-7dc5-4853-8e66-3987df4d85a0.png){kind=link}
- Show that the sum of the first
nsquares isn(n+1)(2n+1)/6. - I know this is often in the textbook for proof by induction, which is why proof by induction is not allowed.
This is a relatively hard one, take your time.
n squares is n(n+1)(2n+1)/6.This is a relatively hard one, take your time.
Hint:
spoiler
It is often helpful to visualise the problem, build it in minecraft to see if u notice anything.
Note that the sum of first n natural numbers can be proven without induction, as shown below
Solutions:
spoiler
https://gmtex.siri.sh/fs/1/School/Extra/Maths/Qotd solutions/2024-05-09_sum-of-squares.html