Concept explainers
(a)
Whether the second option is in geometric sequence or not.
(a)
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)
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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