Concept explainers
a.
To determine the formula for the nth term.
a.
Answer to Problem 31PPS
Explanation of Solution
Given:
Sequence:
Formula used:
nth term of any arithmetic progression is given by the formula:
Calculation / Explanation:
The common difference of the arithmetic progression is:
Applying above formula,
Conclusion:
The required nth term formula of the sequence is
b.
To determine the week in which she will run
b.
Answer to Problem 31PPS
15th
Explanation of Solution
Given:
Sequence:
Formula used:
nth term of any arithmetic progression is given by the formula:
Calculation:
The common difference of the arithmetic progression ia:
Let, she will run
Applying above formula,
Conclusion:
Therefore, she will run
c.
To justify the statement.
c.
Answer to Problem 31PPS
No, this pattern will not continue infinitely.
Explanation of Solution
Given:
Olivia plans to run three miles per day for the first week.
Then she will increase daily distance by a half mile each of the following weeks.
Calculation:
In some bigger cases the number of miles ran per day will become unrealistic.
Conclusion:
Therefore, Olivia cannot continue this patter infinitely.
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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