.Could someone please check this induction proof, unsure if this is the correct way to go about it.

Prove by induction that is divisible by 7 for all non negative integers .

Initial step,

, therefore true for .

Induction step. Assume for , therefore for some .

Therefore for we have:

What, in the holy name of the Great Pumpkin, did you do here??!:

, and the same with the other term, so you need to correct this QUICKLY and think over your proof again.

Tonio

.

Therefore true for all .