1. Show appropriate work to earn appropriate credit. In general, guess and check is not considered an appropriate mathem

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1 Show Appropriate Work To Earn Appropriate Credit In General Guess And Check Is Not Considered An Appropriate Mathem 1 (37.61 KiB) Viewed 45 times

1. Show appropriate work to earn appropriate credit. In general, guess and check is not considered an appropriate mathematical strategy at this level. 2. Solve each problem vertically. 3. Solve each problem neatly. 4. Leave ample room between problems. 5. Staple all pages to this cover sheet. 6. There are 3 extra-credit points for MATH 460 students. 1. Let n be a natural number, prove that 1 a) 1 + +1 (This is called the splitting identity). (3 points) n(n+1) 1 2. (3 points) 17 b) Use this formula to find the simplest" unit-fraction representation of 1 2. Use the identity 1 + 1+1 1 n(n+1) to find two unit-fraction fraction representations of 16 points) 11 3. Let n be a positive odd integer number i.e., n = 2k + 1, for some integer k). Find a unit fraction representation of consisting of three terms. Express the unit representation in terms of n and k in "simplest" form. (3 points)