2 (a) Let p be a real number such that p 1 and p0 Prove by induction that (1 p) 1 mp for every integer 22 (15 marks) (b) Using your results in (a) above, show that the sequence an (1 ) for all integers n21 is a monotone increasing sequence 10 marks) EXAMINER E Djabang (c) i Use the comparison test...

Answer a Induction Proof Base Case n 2 We need to show 1 p 1 p2 Since p 1 and p 0 both sides are positive Multiplying both sides by 2 we get 2 2p 2 p ...

2. (a) Let p be a real number such that p>-1 and p0. Prove by induction...

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An Introduction to Analysis

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2. (a) Let p be a real number such that p>-1 and p0. Prove by induction...

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