Concept explainers
To write:A rule using n and t to describe the sequence 7,8,9,10,....
Answer to Problem 41HP
The equation that describes the sequence is
Explanation of Solution
Giveninformation:
Consider the equation y=x+6 represents the function {(1,7),(2,8),(3,9),(4,10)}
Need to write a rule using n and t to describe the sequence 7,8,9,10,....
Make a table to describe above sequence
The difference of the term numbers is 1
The common difference of the terms is 1
The terms have a common difference 1
This suggests that t=n, however need to add 6 to get the value of t.
Therefore, the equation that describes the sequence is
Consider
If
Then
If
Then
If
Then
If
Then
For input values 1,2,3 and 4 output values are 7,8,9 and 10.
Consider
If
Then
If
Then
If
Then
If
Then
For input values 1,2,3 and 4 output values are 7,8,9, and 10
Therefore, for both functions input values 1,2,3 and 4 output values are 7,8,9, and 10.
Chapter 8 Solutions
Pre-Algebra, Student Edition
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