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Year 12 Maths Extension 1 (2027) Proof

Identify errors in false ‘proofs by induction’

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Question 1
182935

A proof by mathematical induction is valid \(\textbf{only}\) if:

A.
only the base case is proven
B.
both the base case and the inductive step are proven
C.
only the inductive step is proven
D.
the result holds for \(n=1\) and \(n=2\)
both the base case and the inductive step are proven

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