I don't think you understand how induction works.

Think of a line of dominoes, and how it would look if this line extended indefinitely. It should be obvious that any domino falling over will push the next one, which will push the next, which will push the next, and continue pushing the next domino indefinitely. But this will only happen if the first domino is pushed in the first place.

Mathematical induction works the same way. You need to show that the statement is true for some base case (this is the equivalent of pushing over the first domino) and you also need to show an inductive step, that if an arbitrary case is true, that the next case will be true as well (this is the equivalent of any domino pushing the next one over).

In your case, you have already been told that

is an integer. Your base case would be to show that

is an integer.

which is another integer, so the base case is true.

Now for the inductive step, we need to assume that the statement is true for some arbitrary value of

, say

, and prove that IF this is true, then the next one,

will also be true.

So we are assuming

and using this to show

.

Does that make more sense? See if you can go from here?