Define P$($n$)$ to be the assertion that: $($e$)$ In an inductive proof that for every positive integer n$,\backslash$Sigma $\_$j$=1,$ j$^2,^$n $=($n$($n $+1)(2$n $+1))/6$

what must be proven in the inductive step? $($f$)$ What Would be the inductive hypothesis in the inductive step from your previous answer?