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 finds that there are more factors affecting the number of salmon that return to Redfish Lake than the dams: There are good years and bad years. These happen at random, but they are more or less cyclical, so she models the number of fish returning each year as , where h is the number of fish whose spawn she releases from the hatchery annually.
(a) Show that the sustained number of fish returning in even-numbered years approach approximately
(Hint: Make a new recurrence by using two steps of the one given.)
(b) Show that the sustained number of fish returning in odd-numbered years approaches approximately
(c) How should Leila choose h, the number of hatchery fish to breed in order to hold the minimum number of fish returning in each run near some constant P?
Given thatand, find the value of.
Use either the divergence test or the integral test to determine whether the series in Exercises 32–43 converge or diverge. Explain why the series meets the hypotheses of the test you select.
35.
Determine whether the series converges or diverges. Give the sum of the convergent series.
Determine whether the series converges or diverges. Give the sum of the convergent series.
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