Concept explainers
(a)
Write an equation to represent the nth term of the sequence
(a)
Answer to Problem 32PPS
Explanation of Solution
Given:
Jose averaged 123 total pins per game in his bowing league this season. He is taking bowling lessons and hopes to bring his average up by 8 pins each new season.
Concept Used:
The equation of any arithmetic sequence is
First term is
Calculation:
The equation of any arithmetic sequence is
Thus,
(b)
To find or To Convert
(b)
Answer to Problem 32PPS
9th season
Explanation of Solution
Given:
Jose averaged 123 total pins per game in his bowing league this season. He is taking bowling lessons and hopes to bring his average up by 8 pins each new season.
If the pattern continues, during what season will Jose average 187 per game?
Concept Used:
The nth term equation is:
Calculation:
The nth term equation is:
Thus, 9th season Jose will average 187 per game.
(c)
Find it is reasonable for this patter to continue indefinitely.
(c)
Answer to Problem 32PPS
No, it is not reasonable.
Explanation of Solution
Given:
Jose averaged 123 total pins per game in his bowing league this season. He is taking bowling lessons and hopes to bring his average up by 8 pins each new season.
Is it reasonable for this patter to continue indefinitely?
Concept Used:
No, it is not possible because there is a cap to the number of pins you can hit in a bowing game. Therefore, with an arithmetic sequence, the sequence never stops, but there is an inherent cap built into the game.
Calculation:
Thus, no, it is not reasonable.
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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