To write the first four terms of an arithmetic sequence with a common difference of 3 and a third term of 10. Then write a recursive definition and an explicit formula for the sequence.
The first four terms of the sequence are 4, 7, 10 and 13. The recursive definition for the sequence is
Given information:
An arithmetic sequence with a common difference of 3 and a third term of 10.
Calculation:
Given,
Substitute
Now, find the second and the fourth terms.
Since the first term of the sequence is
Use
So, the explicit formula is
Conclusion:
The first four terms of the sequence are 4, 7, 10 and 13. The recursive definition for the sequence is
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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