Chapter 7: Q. 25 (page 592)
In Exercises, find a plausible formula for the general term of the given sequence.
Short Answer
The plausible formula for the general term of the sequence is
Chapter 7: Q. 25 (page 592)
In Exercises, find a plausible formula for the general term of the given sequence.
The plausible formula for the general term of the sequence is
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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?
Use the divergence test to analyze the given series. Each answer should either be the series diverges or the divergence test fails, along with the reason for your answer.
Determine whether the series converges or diverges. Give the sum of the convergent series.
Given that and , find the value ofrole="math" localid="1648828282417" .
Determine whether the series converges or diverges. Give the sum of the convergent series.
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