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Mathematics · L3 · Mathematical Induction

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The two checkpoints a proof by induction must pass before you can conclude a statement is true for every natural number.

by @openstemUpdated Mathematics
📐 Statement P of n to proveBase case: is P of 1 true?❌ Induction fails — no starting pointInductive step: does P of k always imply P of k plus 1?❌ Induction fails — chain breaks somewhere✅ P of n true for every n ≥ 1NoYesNoYes

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