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(6) Let my) 2 1 for n 2 1. In this problem we Will try to determine on and make n(n + 1) connections with

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(6) Let my)\" 2 1 for n 2 1. In this problem we Will try to determine on and make n(n + 1) connections with continuous calculus. 1 a Use artial fractions to e and . ( ) p xp n(n + 1) (b) Given your answer from part (a) write an expression for on. (c) Find the forward difference of your answer from (b) to verify it is correct. ((1) Use the partial fractions expansion from (a) to write out the rst six terms of (Av)? Do not combine the fractions. N (e) Find 23(Av)n using your work from (d) for k = 2, 3, 4. n=1 (f) Does the result to the previous part of the question remind you of anything from the continuous calculus

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