Yes that's the way to go. Without going through all the formalities ...

#1: Assume it holds for . We want to show that it holds for as well, that is, we want toshowthat

So for your inductive step:

#2: Again, assume it holds for for all , so we're assuming that . We then want toshowthat it is true for as well, that is,

Note that:

We can assume the blue because we're given that the statement is true for values strictly greater than 6. So obviously, . Hopefully you'll see the conclusion directly after using the inductive step.