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I am doing my reading lately to prepare for some exams to join a mathematics department.

And I would very much like, if anyone could help, the solution (or a hint) to the following induction proof.

" Show that n^3 + (n+1)^3 + (n+2)^3 is a multiple of 9 "

I can deal with proofs that say " *this* is divisible with *that* " but in that case I have no clue how to start.

I have noone to ask for help ... but you in the forum.