a.
To find the geometric mean of two positive numbers.
The geometric mean is
Let the two positive number be
b.
To find the common ratio.
Given:
The first three terms are:
Calculation:
Common ratio
Now, the common ratio for the sequence is:
Hence, the common ratio is
c.
To find the
Given:
The geometric sequence is:
Calculation:
Finding the
d.
To find the geometric mean.
Given:
The geometric sequence is:
Calculation:
The first term is:
And the ninth term is:
Next, calculating the geometric mean for above two numbers:
Next, finding the value of
Hence, the geometric mean of the first term and ninth term is fifth term.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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