Concept explainers
(a)
Write an equation to represent the nth term of the sequence.
(a)
Answer to Problem 70PPS
Explanation of Solution
Given:
While training for cross country, Silvia plans to run 3 miles per day for the first week, and then increase the distance by a half miles each of the following weeks.
Concept Used:
According to the question, the information is given:
Calculation:
According to the question, the information is given:
Thus, the nth term of the series is
(b)
Find the number of week when she will be running 10 miles per day.
(b)
Answer to Problem 70PPS
15th week
Explanation of Solution
Given:
While training for cross country, Silvia plans to run 3 miles per day for the first week, and then increase the distance by a half miles each of the following weeks.
Concept Used:
The nth term of the series is
Calculation:
When
Thus, on 15th week she will be running 10 miles per day.
(c)
It is reasonable for this pattern to continue indefinitely.
(c)
Explanation of Solution
Given:
While training for cross country, Silvia plans to run 3 miles per day for the first week, and then increase the distance by a half miles each of the following weeks.
Concept Used:
Is it reasonable for this pattern to continue indefinitely?
No; eventually the number of miles per day will become unrealistic.
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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