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

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In a proof by mathematical induction that 1 + 3 + 5 + ... + (2n - 1) = n^2 for all positive integers n, assuming the result holds for n = k, what expression must be added to k^2 to prove it for n = k + 1?

2k + 1 2k - 1 2k + 3 k + 1

Correct Answer:

2k + 1

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