Concept explainers
a.
To calculate: The relationship between the terms of the sequence and to calculate the next five terms in the sequence.
a.
Answer to Problem 30PPS
The next five terms are 13,21,34,55,89.
Explanation of Solution
Given:
The first term are 1,1,2,3,5,8,….
Calculation:
Notice that for the sequence 1,1,2,3,4,5,8…….
Each term is then the sum of the previous two terms. The next five terms are then:
So, next five terms are 13,21,34,55,89.
b.
To write: The formula for the nth term if
b.
Answer to Problem 30PPS
Explanation of Solution
Given:
The first term are 1,1,2,3,5,8,…
Calculation:
From part (a), each term is the sum of the previous two term so,
c.
To find: The 15th term of the series.
c.
Answer to Problem 30PPS
The 15th term is 610.
Explanation of Solution
Given:
The first term are 1,1,2,3,5,8,….
Calculation:
Using the recursive formula,
The 15th term is 610.
Conclusion:
d.
To Explain: The reason that Fibonacci sequence is not an arithmetic sequence.
d.
Answer to Problem 30PPS
It has no common difference.
Explanation of Solution
Given:
The first term are 1,1,2,3,5,8,….
Calculation:
Fibonacci sequence is not an arithmetic sequence because it has no common difference.
Chapter 7 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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