Question: I. (10 points) Consider the sum where n is a positive integer. (a) Conjecture a closed formula for this sum. (A closed formula does not

I. (10 points) Consider the sum where n is a positive

I. (10 points) Consider the sum where n is a positive integer. (a) Conjecture a closed formula for this sum. (A closed formula does not contain a summation.) Hint: Evaluate the sum for n 1,2,3,... and look for a pattern (b) Give a proof by mathematical induction that your conjecture is correct

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