APPM 1360 Final: appm1360spring2016examfinal
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On the front of your bluebook, please write: a grading key, your name, student id, your lecture number and instructor. This exam is worth 150 points and has 7 questions: submit this exam sheet with your bluebook. However, nothing on this exam sheet will be graded. Make sure all of your work is in your bluebook: show all work and simplify your answers! Explain your reasoning. (a) the sequence a1, a2, a3, . where an = ln(8n) ln(n + 1) (b) z 2. )2 en2: (18 points) consider the circles shown. The largest circle has a radius of 2 m, the next largest circle has a radius of 1 m, and the next has a radius of 1. Each circle has half the radius of the previous one. Suppose there is an in nite number of circles and s represents the total area of all the circles. (a) express s as an in nite series of the nth circle.
