Solved: 7881. Practical sequences Consider the following

Chapter 8, Problem 78

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7881. Practical sequences Consider the following situations that generate a sequence. a. Write out the first five terms of the sequence. b. Find an explicit formula for the terms of the sequence. c. Find a recurrence relation that generates the sequence. d. Using a calculator or a graphing utility, estimate the limit of the sequence or state that it does not exist. Population growth When a biologist begins a study, a colony of prairie dogs has a population of 250. Regular measurements reveal that each month the prairie dog population increases by 3%. Let pn be the population (rounded to whole numbers) at the end of the nth month, where the initial population is p0 = 250.