Question: Solve by mathematical induction to prove the following () = 1 + 2 + 2^2 + 2^3 + + 2 = 2 - 1 for

Solve by mathematical induction to prove the following

  1. () = 1 + 2 + 2^2 + 2^3 + + 2 = 2 - 1 for all positive integers
  2. () = 3 + 7 + 11 ... . +4n - 1 = n(2n + 1) For all positive integers, for n1

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