Study Guide and Intervention (continued) - MathnMind

4-7
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Study Guide and Intervention
Arithmetic Sequences
Recognize Arithmetic Sequences A sequence is a set of numbers in a specific
order. If the difference between successive terms is constant, then the sequence is called an
arithmetic sequence.
Arithmetic Sequence
Determine whether the
sequence 1, 3, 5, 7, 9, 11, … is an
arithmetic sequence. Justify your
answer.
If possible, find the common difference
between the terms. Since 3 1 2,
5 3 2, and so on, the common difference
is 2.
Since the difference between the terms of
1, 3, 5, 7, 9, 11, … is constant, this is an
arithmetic sequence.
a numerical pattern that increases or decreases at a constant rate or value called the
common difference
Example 1 Example 2
Exercises
Determine whether the
sequence 1, 2, 4, 8, 16, 32, … is an
arithmetic sequence. Justify your
answer.
If possible, find the common difference
between the terms. Since 2 1 1 and
4 2 2, there is no common difference.
Since the difference between the terms of
1, 2, 4, 8, 16, 32, … is not constant, this is
not an arithmetic sequence.
Determine whether each sequence is an arithmetic sequence. If it is, state the
common difference.
1. 1, 5, 9, 13, 17, … 2. 8, 4, 0, 4, 8, … 3. 1, 3, 9, 27, 81, …
4. 10, 15, 25, 40, 60, … 5. 10, 5, 0, 5, 10, … 6. 8, 6, 4, 2, 0, 2, …
7. 4, 8, 12, 16, … 8. 15, 12, 10, 9, … 9. 1.1, 2.1, 3.1, 4.1, 5.1, …
10. 8, 7, 6, 5, 4, … 11. 0.5, 1.5, 2.5, 3.5, 4.5, … 12. 1, 4, 16, 64, …
13. 10, 14, 18, 22, … 14. 3, 6, 9, 12, … 15. 7, 0, 7, 14, …
© Glencoe/McGraw-Hill 249 Glencoe Algebra 1
Lesson 4-7