I have to prove $n
I did it as follows. I proved the base case.
Then let it be true for $K>2$:
$$ K I have to prove, $$ K+1<(K+1)! $$ $$ K Adding $1$ on both sides $$ K+1 Hence $$ K+1<(K+1)! $$ Is the last step I did ($K!+1<(K+1)!$) Right? Please help me out. Thanks!