Can 7 divide 3^(2n+1) + 2^(n+2) in induction for number theory?

[mcooper]

Homework Statement

Show 7 divides 3^(2n+1) + 2^(n+2)

The Attempt at a Solution

Have proved base case K=1 and for the case k+1 I have got ot the point of trying to show 7 divides 9.3^(2k+1) + 2.2^(k+2).

Any pointers would be much appreciated. Thanks in advance

 

[Hurkyl]

Well, you don't seem to have even stated the inductive hypothesis yet, let alone tried doing something with it.

 

[mcooper]

The inductive hypothesis is that 7 divides 3^(2k+1) + 2^(k+2)