Concept explainers
(a)
Write a function to represent this sequence.
(a)
Answer to Problem 30PPS
The function for this arithmetic sequence is
Explanation of Solution
Given: The arithmetic sequenceis
Concept Used:
First term and common difference are:
Calculation:
The arithmetic sequenceis
Find the common difference:
Write the equation for the nth terms of the sequence.
So , the function for this arithmetic sequence is
Thus, the function for this arithmetic sequence is
(b)
Find the weight of each year book.
(b)
Answer to Problem 30PPS
The weight of each year book is 11 oz.
Explanation of Solution
Given:
The arithmetic sequenceis
Concept Used:
The weight decreased by 11 oz every time a book is taken out, so the common difference represents the weight of each year book, or 11 oz.
Calculation:
Weight of each year book is 11 oz.
Thus, the weight of each year book is 11 oz.
(c)
Determine the number of yearbooks in a full box
(c)
Answer to Problem 30PPS
There are 25 books in a full box
Explanation of Solution
Given:
The arithmetic sequenceis
Concept Used:
Calculation:
To determine the number of yearbooks in a full box , subtract the weight of the empty box from the weight of the full box. Weight of the empty is atleast 11 oz.
Difference of box weight when full and minimum possible weight of the box.
Now, divide by the weight of each year book.
So there are 25 books in a full box.
Thus, there are 25 books in a full box
Chapter 3 Solutions
Algebra 1
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