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Concept explainers
(a)
Whether the second option is in geometric sequence or not.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 33PPS
The second option follow geometric sequence.
Explanation of Solution
Given information:
Her second option is $1 in first week, $2 for second week and $4 for the third week and so on.
Her second option is $1 in first week, $2 for second week and $4 for the third week and so on.
A series is said to be in geometric progression when they have a common ratio.
Now, divide $2 with $1.
Similarly, $4 with $2.
Since it continues to follow the common ratio of 2 in the following weeks.
Hence, the second option follow geometric sequence.
(b)
The batter option that Danielle must choose.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 33PPS
The second option is batter.
Explanation of Solution
Given information:
Her first option is she get paid $30 each week
Her second option is $1 in first week, $2 for second week and $4 for the third week and so on.
Total number of weeks is 9.
Given that she get allowance for 9 week.
Consider her select first option.
Now, calculate the total amount for 9 weeks.
Similarly, consider her select second option.
Now, calculate the total amount for 9 weeks.
Thus, she get more amount if she select the second option.
Hence, the second option is batter.
Chapter 9 Solutions
Algebra 1
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