a.
To explain the error made by the student.
Given information:
The sum of the infinite geometric series is twice its first term.
A student says the common ratio of the series is
Calculation:
Given that the geometric series is infinite and its sum is twice the first term of the series.
Since the series is infinite geometric series and it has a sum, the common ratio must satisfy the inequality
The value
Therefore, the common ratio of the series cannot be greater than 1.
b.
To find the common ratio of the series.
Given information:
The sum of the infinite geometric series is twice its first term.
Calculation:
Substitute the values
Therefore, the common ratio of the series is
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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