Concept explainers
Find next four terms of the sequence
Answer to Problem 30PPS
The next four terms are
Explanation of Solution
Given:
The sequence:
Concept Used:
An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one and the result is always the same or constant then it is an arithmetic sequence.
In an Arithmetic Sequence the difference between one term and the next is a constant.
Calculation:
The sequence:
Each term in an arithmetic sequence can be expressed in terms of the first term
Terms | Symbol | In terms of | Numbers |
Fourth Term | |||
Fifth term | |||
Sixth term | |||
Seventh term |
The next four terms of the sequence
To graph the sequence:
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
F(n) | 2/3 | − 1/3 | − 4/3 | − 7/3 | − 10/3 | − 31/3 | − 16/3 |
Thus, the next four terms are:
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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