
Concept explainers
a.
To identify: The formula that can be used to find the nth term of a geometric sequence to represent the attendance over time.
a.

Answer to Problem 48PFA
D
Explanation of Solution
Given: MULTI-STEP In 2015 , the average attendance for a college’s basketball games was 6500. Since then , the attendance has dropped by an average of 7% each year.
Calculation:
The average attendance is initially 6500 so
Substitute
So, D
b.
To find: The sixth term in the sequence.
b.

Answer to Problem 48PFA
The sixth term of the sequence is then 4,522.
Explanation of Solution
Given: MULTI-STEP In 2015 , the average attendance for a college’s basketball games was 6500. Since then , the attendance has dropped by an average of 7% each year.
Calculation:
From part (a), the formula for the sequence is
Sixth term is when n= 6, Substitute n =6 into the formula gives;
The sixth term of the sequence is then 4,522.
c.
To explain: The insights of the eighth term of the sequence.
c.

Answer to Problem 48PFA
The eighth term then represents the average attendance in2022.
Explanation of Solution
Given: MULTI-STEP In 2015 , the average attendance for a college’s basketball games was 6500. Since then, the attendance has dropped by an average of 7% each year.
Calculation:
The nth term represents the average attendance n -1 years after2015.That is n =1 represents the year 2015 . The eighth term then represents the average attendance 8-1=7 years after 2015 which is the year 2022.
So , The eighth term then represents the average attendance in2022.
Conclusion:
d.
To sketch: The graph of the sequence.
d.

Answer to Problem 48PFA
Explanation of Solution
Given: MULTI-STEP In 2015 , the average attendance for a college’s basketball games was 6500. Since then , the attendance has dropped by an average of 7% each year.
Calculation:
Find the first few points on the graph by making a table of values:
Plot the points we found to sketch the sequence:
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