Consider a population that grows according to the recursive rule Pn population Po 70. Then: P₁ = P₂ = Pn = - Find an explicit formula for the population. Your formula should involve n (use lowercase n) Use your explicit formula to find P100 P100 = = Pn-1 55, with initial

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 17EQ
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Consider a population that grows according to the recursive rule Pn = Pn-1 + 55, with initial
population Po = 70.
Then:
P₁ =
P₂ =
Find an explicit formula for the population. Your formula should involve n (use lowercase n)
P₁
=
Use your explicit formula to find P100
P100
=
Transcribed Image Text:Consider a population that grows according to the recursive rule Pn = Pn-1 + 55, with initial population Po = 70. Then: P₁ = P₂ = Find an explicit formula for the population. Your formula should involve n (use lowercase n) P₁ = Use your explicit formula to find P100 P100 =
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