a.
To determine the pattern between consecutive terms.
The pattern between consecutive terms is adding
Given:
It is given that over the first four months the payment receive which are:
Calculation:
The pattern is given as:
The difference between the first and second term is:
The difference between the second and third term is:
The difference between the third and fourth term is:
The pattern in the consecutive terms has the difference in multiples of
b.
To write a recursive or explicit formula to describe the pattern.
The recursive formula to describe the pattern is:
Given:
The pattern is given as:
Interpretation:
Here, the pattern depends on the previous term, so the recursive formula is given by:
c.
To find the amount receive in the tenth month.
Given:
The pattern is given as:
Calculation:
The recursive formula is given by:
Now, calculating the fifth term as:
Next, the sixth term is:
The seventh term is:
The eighth term is:
The ninth term is:
Now, the tenth term is:
Hence, the payment received in the tenth month is
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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