Problem 1: (15 points) Consider the sequence given by an = n(n+1) and the series S₁ = [194. (i) Write out sn for n = 2,3

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Problem 1: (15 points) Consider the sequence given by an = n(n+1) and the series S₁ = [194. (i) Write out sn for n = 2,3

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Problem 1 15 Points Consider The Sequence Given By An N N 1 And The Series S 194 I Write Out Sn For N 2 3 1
Problem 1 15 Points Consider The Sequence Given By An N N 1 And The Series S 194 I Write Out Sn For N 2 3 1 (19.14 KiB) Viewed 18 times
Problem 1: (15 points) Consider the sequence given by an = n(n+1) and the series S₁ = [194. (i) Write out sn for n = 2,3,4,5, simplifying where possible. (ii) Use your answer from (i) to come up with a general formula for the series Sn. (iii) Prove by induction on n € Z+ that your formula is correct.
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