Consider a population that grows according to the recursive rule Pn= Pn-1 + 40, with initial population Po = 30. Then: P₁ = 108 P₂ = 147 X X Find an explicit formula for the population. Your formula should involve n (use lowercase n) Pn = 30 + 40n Use your explicit formula to find P100 P100 = 2940 X Or

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 59RE
icon
Related questions
Question
Consider a population that grows according to the recursive rule P = Pn−1+ 40, with initial population
Po = 30.
Then:
P₁ = 108
P₂ = 147
=
X
Find an explicit formula for the population. Your formula should involve n (use lowercase n)
Pn
30+ 40n
X
Use your explicit formula to find P100
P100= 2940
X
Transcribed Image Text:Consider a population that grows according to the recursive rule P = Pn−1+ 40, with initial population Po = 30. Then: P₁ = 108 P₂ = 147 = X Find an explicit formula for the population. Your formula should involve n (use lowercase n) Pn 30+ 40n X Use your explicit formula to find P100 P100= 2940 X
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning