math132-spring2015.435011.Homework09 (1) - Ke Xu Assignment...

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Ke Xumath132-spring2015Assignment Homework09 due 04/07/2015 at 09:00pm CDT1.(1 pt) Express 3.927927927...as a rational number, in theformpqwherepandqhave no common factors.(1 pt) Find the sum of the series-1+-16+-136+...+-16n-1+....
2.(3 pts) The following series are geometric series or a sumof two geometric series.Determine whether each series converges or not.For the series which converge, enter the sum of the series. Forthe series which diverges enter ”DIV” (without quotes).
3.(1 pt) Find the sum of the series-1+-16+-136+...+-16n-1+....
4.(1 pt)A ball dropped from a height of 10 feet begins to bounce.Each time it strikes the ground, it returns to49of its previ-ous height.What is the total distance traveled by the ball ifit bounces infinitely many times?
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