Induction

[rare lava]

how to do this with induction?

[royal moth]

same as you would normally do any other induction problem

base case and inductive step

@rare lava which of these are you having trouble with?

[rare lava]

hmmm

i dont really know

[wise palm]

are u having trouble starting?

or at the end

[rare lava]

yeah

idk what to do

[wise palm]

ok

first solve it for a base case

in this case

solve it for one

1x2x3/6=1

so that checks out

now try to prove it is true for k+1 if it is true for k

[rare lava]

[haughty quiver]

Can it be proven with this?:
[
\frac{(n-1)(n)(2n-1)}{6} + n^2 = \frac{n(n+1)(2n+1)}{6}
]