Thread: simple proof. LHS = RHS

If i have = (n+1)(2n+1)

where k=1,2,3....n

how do i prove the LHS = RHS?

Originally Posted by sirellwood

If i have = (n+1)(2n+1)

where k=1,2,3....n

how do i prove the LHS = RHS?

I claim that .

How do I prove this? Induction.

1) It's clearly true for .

2) Assume it's true for .

3) Prove it's true for :

...

Spoiler:

which is the desired result.

So and therefore