Chapter 7: Q. 44 (page 592)
In Exercises 43–46 give the first five terms for a geometric sequence with the specified values of
Short Answer
The five terms are
Chapter 7: Q. 44 (page 592)
In Exercises 43–46 give the first five terms for a geometric sequence with the specified values of
The five terms are
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Get started for freeLeila, in her capacity as a population biologist in Idaho, is trying to figure out how many salmon a local hatchery should release annually in order to revitalize the fishery. She knows that ifsalmon spawn in Redfish Lake in a given year, then only fish will return to the lake from the offspring of that run, because of all the dams on the rivers between the sea and the lake. Thus, if she adds the spawn from h fish, from a hatchery, then the number of fish that return from that run k will be .
(a) Show that the sustained number of fish returning approaches as k→∞.
(b) Evaluate .
(c) How should Leila choose h, the number of hatchery fish to raise in order to hold the number of fish returning in each run at some constant P?
Express each of the repeating decimals in Exercises 71–78 as a geometric series and as the quotient of two integers reduced to lowest terms.
Explain why the integral test may be used to analyze the given series and then use the test to determine whether the series converges or diverges.
Ifconverges, explain why we cannot draw any conclusions about the behavior of.
Explain why the integral test may be used to analyze the given series and then use the test to determine whether the series converges or diverges.
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