Accedmychevron_right11thchevron_rightmathchevron_rightMathematical Inductions And Binomial Theoremchevron_rightMathematical Induction (Introduction)

Mathematical Induction (Introduction)

Base step: show the statement is true for the first value (often <code class="rounded-md border border-slate-200 bg-slate-50 px-1.5 py-0.5 text-[0.92em] text-slate-900">n = 1 ).
Inductive step: assume it’s true for <code class="rounded-md border border-slate-200 bg-slate-50 px-1.5 py-0.5 text-[0.92em] text-slate-900">n = k and prove it for <code class="rounded-md border border-slate-200 bg-slate-50 px-1.5 py-0.5 text-[0.92em] text-slate-900">n = k + 1 .

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Structure of an induction proof: base step and inductive step.

8.1 What is induction?

Mathematical induction is a method to prove statements about natural numbers.