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Unit 1Topic 1.15Question BankHL

Mathematics: Analysis and Approaches · Unit 1: Number and Algebra

Proof by induction, contradiction and counterexample

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19

Questions

142

Total marks

Question 1 of 199 marks

Mathematical induction

[Maximum mark: 9]Calculator not permittedProve by mathematical induction that(33)+(43)+(53)+…+(n−13)=(n4)\binom{3}{3}+\binom{4}{3}+\binom{5}{3}+\ldots +\binom{n-1}{3}=\binom{n}{4}where n∈Z,n≥4n\in \mathbb{Z} , n\ge 4

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