Concept explainers
a.
To identify: The type of sequence.
a.
Answer to Problem 36PFA
recursive.
Explanation of Solution
Given: MULTI-STEP The table shows several terms of a sequence.
Calculation:
Since
Since
Note however that if we multiply each term by -2 and then add 1,
we get the next term since
Since each term then depends on the previous term, it can be written as a recursive sequence.
b.
To find: The next term in the sequence.
b.
Answer to Problem 36PFA
Next term of pattern is -197.
Explanation of Solution
Given: The table shows several terms of a sequence.
Calculation:
From part (a), the pattern is multiply by -2 and then add 1, we get the next term is ,
-
Next term of pattern is -197.
c.
To find: The formula which can describe the sequence.
c.
Answer to Problem 36PFA
Explanation of Solution
Given: The table shows several terms of a sequence.
Calculation:
we multiply each term by -2 and then add 1, we get the next term since
Since each term then depends on the previous term, it can be written as a recursive sequence.
The correct answer is then choice B.
Conclusion:
d.
To explain: Whether an explicit formula be written as a linear equation for the sequence or not.
d.
Answer to Problem 36PFA
No.
Explanation of Solution
Given: The table shows several terms of a sequence.
Calculation:
For an explicit formula of a sequence to be written as a linear equation, the sequence must be arithmetic since both athematic sequence and linear function need a constant rate of change (a constant difference), we know this sequence is not arithmetic so it cannot be written as a linear equation.
Chapter 7 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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