To construct a sequence of five numbers using a linear function and understand the common difference of a sequence.
Consider the linear function
Now, evaluate the function for
Therefore, the sequence of five numbers is
Now, starting with second term subtract the term which precedes it.
Observe that the difference between the consecutive terms is constant. This difference is called the common difference.
Conclusion:
If the differences between the consecutive terms of an ordered list of the numbers are constant, the difference is called common difference.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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