Concept explainers
To find:The explicit and recursive formulas for the geometric sequence formed by the growth of the yeast.
Answer to Problem 52PPE
The explicit formula is
The recursive formula is
Explanation of Solution
Given information:A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of yeast in a culture dish.
Calculation:At the beginning the yeast was 9 grams.
After 3 hours, the yeast becomes
After 6 hours, the yeast becomes
After 9 hours, the yeast becomes
And so on.
Thus, the geometric sequence is
The first term
The explicit formula is given by,
Thus, the explicit formula is
The recursive formula is given by,
Thus, the recursive formula is
Chapter 7 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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