Scientists have developed a recursion formula to determine the number of insects in a given population for each interval, n, of time, an= kan-1 (1-an-1), where k is a constant called the Malthusian factor. a. Assuming n is measured in weeks, calculate the insect population for weeks 2, 3, and 4 if the initial population is 112, and the Malthusian factor for this population is -9.5.
Scientists have developed a recursion formula to determine the number of insects in a given population for each interval, n, of time, an= kan-1 (1-an-1), where k is a constant called the Malthusian factor. a. Assuming n is measured in weeks, calculate the insect population for weeks 2, 3, and 4 if the initial population is 112, and the Malthusian factor for this population is -9.5.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Scientists have developed a recursion formula to determine the number of insects in a given population for each
interval, n, of time, . an = kan-1(1-an-1), where k is a constant called the Malthusian factor.
a. Assuming n is measured in weeks, calculate the insect population for weeks 2, 3, and 4 if the initial
population is 112, and the Malthusian factor for this population is -9.5.
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