Mathematics · Mathematical Reasoning
In the method of Mathematical Induction, which of the following describes the inductive step (usually the second main step)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Proving 'If P, then Q' by establishing the validity of 'If not Q, then not P'.
- 2Assuming P is true and using axioms to directly deduce that Q is true.
- 3Showing that if the statement is true for an arbitrary integer 'k', then it must also be true for 'k + 1'.✓
- 4Showing that the statement is true for the initial base value (usually n = 1).
Correct answer
Showing that if the statement is true for an arbitrary integer 'k', then it must also be true for 'k + 1'.
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