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# Four problems would be selected and everyones grade

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Unformatted text preview: pages. o The grades would be out of 16. Four problems would be selected and everyone’s grade would be based only on those problems. You will also get 4 bonus points for trying to solve all problems. 1. [Prob 2.3, Pg 31] Find the following sum and prove your claim: 1 ∙ 2 + 2 ∙ 3 + ⋯ + !(! + 1) 2. [Prob 2.11, Pg 32] Find an expression for the sum of the ith row of the following triangle, and prove the correctness of your claim. Each entry in the triangle is the sum of the three entries directly above it (a nonexisting entry is cons...
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