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Problem 6 Given the series 5.¢.25x + 125x? + 625 x +. a) For which values of x does the series converge b) Find an expression for the sum of the series. Explain the expression Problem 7 A man runs from A to B first (20 km) Then he turns and runs half the distance back. Then he turns again and runs half of this distance and so he continues. Every time he turns, he runs half of the previous distance. Find a geometric series that expresses the total distance he runs Calculate the den total distance

Problem 6 Given the series 5.¢.25x + 125x? + 625 x +. a) For which values of x does the series converge b) Find an expression for the sum of the series. Explain the expression Problem 7 A man runs from A to B first (20 km) Then he turns and runs half the distance back. Then he turns again and runs half of this distance and so he continues. Every time he turns, he runs half of the previous distance. Find a geometric series that expresses the total distance he runs Calculate the den total distance

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section: Chapter Questions
Problem 6CC
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Problem 6 Given the series 5.¢25x + 125x?+ 625 x? +.. a) For which values of x does the series converge b) Find an expression for the sum of the series. Explain the expression Problem 7 A man runs from A to B first (20 km) Then he turns and runs half the distance back. Then he turns again and runs half of this distance and so he continues. Every time he turns, he runs half of the previous distance. Find a geometric series that expresses the total distance he runs Calculate the den total distance
Transcribed Image Text:Problem 6 Given the series 5.¢25x + 125x?+ 625 x? +.. a) For which values of x does the series converge b) Find an expression for the sum of the series. Explain the expression Problem 7 A man runs from A to B first (20 km) Then he turns and runs half the distance back. Then he turns again and runs half of this distance and so he continues. Every time he turns, he runs half of the previous distance. Find a geometric series that expresses the total distance he runs Calculate the den total distance
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