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Equation of y, the population size after x hours is y = 1000 (1.15)ˣ
<h3>Further explanation</h3>Firstly , let us learn about types of sequence in mathematics.
Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.
<em>Tn = n-th term of the sequence</em>
<em>Sn = sum of the first n numbers of the sequence</em>
<em>a = the initial term of the sequence</em>
<em>d = common difference between adjacent numbers</em>
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Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.
<em>Tn = n-th term of the sequence</em>
<em>Sn = sum of the first n numbers of the sequence</em>
<em>a = the initial term of the sequence</em>
<em>r = common ratio between adjacent numbers</em>
Let us now tackle the problem!
Let :
Initial number of population = a
After 5 hours → Population = y = a × 2 = 2000
2a = 2000
a = 2000 ÷ 2
a = 1000
After 10 hours → Population = y = a × 2 × 2 = a × 2² = 1000 × 2²
After 15 hours → Population = y = a × 2 × 2 × 2 = a × 2³ = 1000 × 2³
After x hours ↓
Population = y =
Population = y =
Population = y =
Let's prove the equation above :
After 5 hours :
Population = y = = 2011 ≈ 2000 ✔
After 10 hours :
Population = y = = 4046 ≈ 4000 ✔
After 15 hours :
Population = y = = 8137 ≈ 8000 ✔
- Geometric Series : brainly.com/question/4520950
- Arithmetic Progression : brainly.com/question/2966265
- Geometric Sequence : brainly.com/question/2166405
Grade: Middle School
Subject: Mathematics
Chapter: Arithmetic and Geometric Series
Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term
