Hey Guys.

Having a bit of trouble with recursion and seeing if the sequence satisfies the formula.

I need to determine whether

a_{k}=2_{a}_{k-1}+k-1 for all integers k>=2

satisfies the explicit formula a_{n}=(n-1)^{2 }for all integers n>=1

Not quite sure on what the right steps are.

Thanks for your help in advance!