Show that the series converges: Σ (-1)+1 3 n° +1 n=1 a. Find the 30th partial sum: $30. b. Find the error bound in your approximation. A rubber ball is dropped from a height of 6 feet and bounces to 1/4 of its height after each fall. If it continues to bounce until it comes to rest, find the total distance in feet it travels. Carefully explain your work for full credit.

Q: Which of the sequences {a,} converge and which diverge: n+(-1)" 1. a=

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A: We have to construct a sequence of complex numbers which converges to 5+2i.

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Q: Please solve the questions in the 2 images attached.

A: We’ll answer the first question since the exact one wasn’tspecified. Please submit a new question…

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Q: 8. For two sequences {an} and {b,}, let cn = E arbn-k. (Then cn is the sum of the terms on the nth…

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