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Year 12 Maths Extension 1 (2027) Proof

Proof of divisibility by induction

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Question 1
182929

In a divisibility proof by induction, after assuming the result holds for \(n=k\), the \(n=k+1\) case is usually proved by:

A.
substituting \(n=1\)
B.
differentiating the expression
C.
dividing by \(k\)
D.
rewriting the \(n=k+1\) expression using the \(n=k\) assumption
rewriting the \(n=k+1\) expression using the \(n=k\) assumption

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