In Exercises 39-42. use the power series1= V .V".

Chapter 8, Problem 41

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In Exercises 39-42. use the power series1= V .V". |.v| < 1.Probability If a fair coin is tossed repeatedly, the probahiHtythat the first head occurs on the Hth toss isWhen this game is repeated inan\ times, the average number oftosses required until the first head occurs isEin) =I;iiPiii).(This value is called the expected value of n.) Use the results ofE.xercises 39 and 40 to find (/;). Is the answer v\hat you expected? Why or why not?

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