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Like we did for the linear model, we will start building from the recursive equation. Fill in the blanks with a number taken to a power. P₁ = 1.10Po 1.10(1000) P₂ = 1.10P₁ = 1.10(1.10(1000)) = (1000) P3 = 1.10P₂ = 1.10(1.10²(1000)) = (1000) P4 = 1.10P3 = 1.10(1.10³(1000)) = (1000) Observing a pattern, we can generalize the explicit form to be: Pn= = Find the number of fish 10 years from now, 20 years from now, and 30 years from now. P10 = P20 = P30= Adding these values to our graph reveals a shape that is definitely not linear. If our fish population Fish 18000 15000 12000 9000 6000 3000 0 0 5 10 15 20 Years from now 25 30

Like we did for the linear model, we will start building from the recursive equation. Fill in the blanks with a number taken to a power. P₁ = 1.10Po 1.10(1000) P₂ = 1.10P₁ = 1.10(1.10(1000)) = (1000) P3 = 1.10P₂ = 1.10(1.10²(1000)) = (1000) P4 = 1.10P3 = 1.10(1.10³(1000)) = (1000) Observing a pattern, we can generalize the explicit form to be: Pn= = Find the number of fish 10 years from now, 20 years from now, and 30 years from now. P10 = P20 = P30= Adding these values to our graph reveals a shape that is definitely not linear. If our fish population Fish 18000 15000 12000 9000 6000 3000 0 0 5 10 15 20 Years from now 25 30

Advanced Engineering Mathematics
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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Like we did for the linear model, we will start building from the recursive equation. Fill in the blanks with a number taken to a power. P₁ = 1.10Po= 1.10(1000) P₂ = 1.10P₁ = 1.10(1.10(1000)) = (1000) P3= 1.10P₂ = 1.10(1.10²(1000)) = (1000) P4 = 1.10P3 = 1.10(1.10³(1000)) = = (1000) Observing a pattern, we can generalize the explicit form to be: Pn = Find the number of fish 10 years from now, 20 years from now, and 30 years from now. P10 = P20 = P30 = Adding these values to our graph reveals a shape that is definitely not linear. If our fish population Fish 18000 15000 12000 9000 6000 3000 0 0 5 10 15 20 Years from now 25 30
Transcribed Image Text:Like we did for the linear model, we will start building from the recursive equation. Fill in the blanks with a number taken to a power. P₁ = 1.10Po= 1.10(1000) P₂ = 1.10P₁ = 1.10(1.10(1000)) = (1000) P3= 1.10P₂ = 1.10(1.10²(1000)) = (1000) P4 = 1.10P3 = 1.10(1.10³(1000)) = = (1000) Observing a pattern, we can generalize the explicit form to be: Pn = Find the number of fish 10 years from now, 20 years from now, and 30 years from now. P10 = P20 = P30 = Adding these values to our graph reveals a shape that is definitely not linear. If our fish population Fish 18000 15000 12000 9000 6000 3000 0 0 5 10 15 20 Years from now 25 30
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