Consider a population that grows according to the recursive rule Pn= Pn-1+120, with initial population Po = 80. Then: P₁ = P₂= Find an explicit formula for the population. Your formula should involve n (use lowercase n) P₁ = Pn Use your explicit formula to find P100 P100 = Question Help: Video Read Calculator Submit Question ? ho
Consider a population that grows according to the recursive rule Pn= Pn-1+120, with initial population Po = 80. Then: P₁ = P₂= Find an explicit formula for the population. Your formula should involve n (use lowercase n) P₁ = Pn Use your explicit formula to find P100 P100 = Question Help: Video Read Calculator Submit Question ? ho
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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![### Population Growth Study
Consider a population that grows according to the recursive rule \( P_n = P_{n-1} + 120 \), with initial population \( P_0 = 80 \).
**Then:**
\[
P_1 = \_\_\_\_\_
\]
\[
P_2 = \_\_\_\_\_
\]
**Find an explicit formula for the population. Your formula should involve \( n \) (use lowercase \( n \)).**
\[
P_n = \_\_\_\_\_
\]
**Use your explicit formula to find \( P_{100} \).**
\[
P_{100} = \_\_\_\_\_
\]
**Supporting Tools:**
- [Video](#)
- [Read](#)
- [Calculator](#)
*Submit your answers by clicking the "Submit Question" button.*
---
**Explanation:**
- **Recursive Rule:** This rule defines how the population changes from one step to the next. \( P_n = P_{n-1} + 120 \) means that the population at any step \( n \) is equal to the population at the previous step plus 120.
- **Initial Population \( P_0 \):** This is the starting point of the population, defined as 80 in this scenario.
By filling out the given values, you are engaging in a basic exercise of understanding and applying recursive sequences to compute population growth.
*Note: This section involves answering specific questions based on the recursive and explicit formulas for calculating population at different stages.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38801349-e7ca-44ac-b05b-a57835e16b3c%2F6c862f29-c2f2-499a-afc1-54be40981422%2F2ltv0af_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Population Growth Study
Consider a population that grows according to the recursive rule \( P_n = P_{n-1} + 120 \), with initial population \( P_0 = 80 \).
**Then:**
\[
P_1 = \_\_\_\_\_
\]
\[
P_2 = \_\_\_\_\_
\]
**Find an explicit formula for the population. Your formula should involve \( n \) (use lowercase \( n \)).**
\[
P_n = \_\_\_\_\_
\]
**Use your explicit formula to find \( P_{100} \).**
\[
P_{100} = \_\_\_\_\_
\]
**Supporting Tools:**
- [Video](#)
- [Read](#)
- [Calculator](#)
*Submit your answers by clicking the "Submit Question" button.*
---
**Explanation:**
- **Recursive Rule:** This rule defines how the population changes from one step to the next. \( P_n = P_{n-1} + 120 \) means that the population at any step \( n \) is equal to the population at the previous step plus 120.
- **Initial Population \( P_0 \):** This is the starting point of the population, defined as 80 in this scenario.
By filling out the given values, you are engaging in a basic exercise of understanding and applying recursive sequences to compute population growth.
*Note: This section involves answering specific questions based on the recursive and explicit formulas for calculating population at different stages.*
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