VCE Specialist Maths Practice Questions - VCE Specialist Mathematics (Units 3 & 4) Exam

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When proving by induction that 4^n - 1 is divisible by 3 for all positive integers n, if 4^k - 1 = 3m for an integer m, how can 4^(k+1) - 1 be written in terms of m?

12m + 3 4m + 3 12m + 1 3m + 4

Correct Answer:

12m + 3

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