Please also explain how you got the answers: 1. [6 pts]: Prove by mathematical induction that for

Please also explain how you got the answers:

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1. [6 pts]: Prove by mathematical induction that for all positive integers n, n n n+1 i(i+1) First, show the base case for this induction. That is, indicate which value of n is the base case, and show that the formula holds. (2 pts) Then state and prove the inductive step. (4 pts) Solution: In case you aren't familiar with the notation, this states that the sum of 1/i(i+1) from i = 1 to i = n is n/(n+1). 1. [6 pts]: Prove by mathematical induction that for all positive integers n, n n n+1 i(i+1) First, show the base case for this induction. That is, indicate which value of n is the base case, and show that the formula holds. (2 pts) Then state and prove the inductive step. (4 pts) Solution: In case you aren't familiar with the notation, this states that the sum of 1/i(i+1) from i = 1 to i = n is n/(n+1).