Thread: Concluding sentence of a" proof by mathematical induction"-problem.

Question: What do I write in the conclusion (last statement) of a proof by mathematical induction? (first year of college level)

Something including n=1, p(k), p(k+1) and P(n) i think... but I am not sure how the structure of the sentence should be. I need help on this!

Also, do I have to mention that it is proved by "the principle of mathematical induction"?

You prove that P(k) P(k+1) is true. Then write "According to the Principle of Mathematical Induction P(n) is true for any natural (unzero) n".