Solving a Population Growth Problem: Finding the Annual Death Rate

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In summary, To solve the problem of a population reaching 2,500,000 in 8 years with a 7% annual increase and a constant number of deaths each year, one can use the Geometric Sequence formula to find the average number of deaths per year. First, the starting population of 2,000,000 is represented by a = 2,000,000, the percentage increase of 7% is represented by r = 1.07, and the number of years is represented by n = 8. After calculating the growth with no deaths, the result should be subtracted from 2,500,000 to determine the total number of deaths over the 8 year period. This number can then be
  • #1
heavyarms
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help please: sequence problem

how do you solve this question please help! thx!

A current population is 2 000 000 and it increases 7% annualy. However each year a certain number of people die (this amount is constant for every year). How many people die each year if the population is to become 2 500 000 in 8 years?

please list steps thx!
 
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  • #2
let a = 2 000 000 (the starting number)
r = 1.07 (the percentage, 100% + 7%)
n = 8 (because - you want to find out after 8 years)

using the Geometric Sequence formula...

[tex]
t_n = ar^{n-1}
[/tex]

SHould be pretty simple.
 
  • #3
Almost. After you calculate the growth with no deaths (futbol's post), subtract 2,500,000. That tells you how many died over the 8 year period. It's a constant rate, so you need the average number of deaths per year.
 

1. What is a sequence problem?

A sequence problem is a type of problem in mathematics or computer science that involves finding a pattern or rule in a sequence of numbers or symbols.

2. What are some examples of sequence problems?

Some common examples of sequence problems include finding the next number in a number sequence, determining the missing term in a sequence, or identifying the pattern in a sequence of shapes or symbols.

3. How do scientists approach solving sequence problems?

Scientists use a variety of methods and strategies to solve sequence problems, including identifying patterns, using algebraic equations, and using computer programs to analyze data.

4. What are the practical applications of sequence problems?

Sequence problems have many practical applications, including in mathematical modeling, data analysis, and computer programming. They can also be used to solve real-world problems in fields such as finance, biology, and physics.

5. Can sequence problems have more than one possible solution?

Yes, depending on the complexity of the sequence and the given information, there can be multiple solutions to a sequence problem. Scientists often use different approaches and methods to find these solutions and determine which one is the most accurate or useful.

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