## CLASS 11 MATHS CHAPTER-4 PRINCIPLE OF MATHEMATICAL INDUCTION

Prove the following by using the principle of mathematical induction for all n ∈ N: Question1.1+3+32+…..+3n-1=(3n-1)/2 Solution :Letp(n):1+3+32+…..+3n-1 = (3n-1)/2 for n = 1 L.H.S = 31-1 = 1 Hence by Principle of Mathematical Induction,N is true for all n ∈ N. Question2. Solution : Question3.Prove the following by using the principle of mathematical induction for all …

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