A fishery manager knows that her fish population naturally increases at a rate of 1.3% per month, while 83 fish are harvested each month. Let F, be the fish population after the nth month, where F, = 4000 fish. Answer parts a-e below. a. Write out the first five terms of the sequence {Fn}. Fo = 4000 F1 = 3969 F2 = 3938 F3 = 3906 F4 = 3874 (Simplify your answers. Round to the nearest integer as needed.) b. Find a recurrence relation that generates the sequence {Fn}. Fn = 1.013F, 83 c. Does the fish population decrease or increase? The fish population decreases. d. Determine whether the fish population decreases or increases in the long run if the initial population is 5700 fish. The fish population decreases in the long run if the initial population is 5700 fish. e. Determine the initial population Fo below which the population decreases. The initial population Fo below which the population decreases is 6385 fish. (Round up to the nearest whole number.)
A fishery manager knows that her fish population naturally increases at a rate of 1.3% per month, while 83 fish are harvested each month. Let F, be the fish population after the nth month, where F, = 4000 fish. Answer parts a-e below. a. Write out the first five terms of the sequence {Fn}. Fo = 4000 F1 = 3969 F2 = 3938 F3 = 3906 F4 = 3874 (Simplify your answers. Round to the nearest integer as needed.) b. Find a recurrence relation that generates the sequence {Fn}. Fn = 1.013F, 83 c. Does the fish population decrease or increase? The fish population decreases. d. Determine whether the fish population decreases or increases in the long run if the initial population is 5700 fish. The fish population decreases in the long run if the initial population is 5700 fish. e. Determine the initial population Fo below which the population decreases. The initial population Fo below which the population decreases is 6385 fish. (Round up to the nearest whole number.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning