Question

Mathematical induction
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Answer 1

Mathematical induction is a technique for proving a statement -- a theorem, or a formula -- that is asserted about every natural number. By "every", or "all," natural numbers, we mean any one that we name.

For example, 1 + 2 + 3 + . . . + n = ½n(n + 1).

Answer 2

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Mathematical induction is a mathematical proof technique. It is essentially used to prove that a statement P(n) holds for every natural number n = 0, 1, 2, 3.. .; that is, the overall statement is a sequence of infinitely many cases P, P, P, P..