Question: Problem 2. Prove by induction that 1+3 + .- -+ (2n -1) = (n +1)2 Make sure that you follow the guidelines for proof by

Problem 2. Prove by induction that 1+3 + .- -+ (2n -1) = (n +1)2 Make sure that you follow the guidelines for proof by induction above. For the following questions, let the F,, denote the n Fibonacci number, given by the recurrence relation 10 =0 , 1 11 In - In 2 + In 1 for n > 2 (0) You may wish to quickly convince yourself that this gives the same sequence as the alternate definition, where F1 = 1 and Fo - 1 are the first two terms given; we just get an added "zeroth term," To

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