Complete the following questions to practice the skills you have learned in this lesson.
- Here are the first two terms of some different arithmetic sequences. What is the 5th term of each sequence?
- –2, 4 ...
- 11, 111 ...
- 5, 7.5 ...
- 5, –4 ...
- For each sequence, decide whether it could be arithmetic, geometric, or neither.
- 200, 40, 8, . . .
-
Neither
-
Arithmetic
-
Geometric
- 2, 4, 16, . . .
-
Neither
-
Arithmetic
-
Geometric
- 10, 20, 30, . . .
-
Neither
-
Arithmetic
-
Geometric
- 100, 20, 4, . . .
-
Neither
-
Arithmetic
-
Geometric
- 6, 12, 18, . . .
-
Neither
-
Arithmetic
-
Geometric
- For each arithmetic sequence with missing terms, find the common difference that might help determine the missing terms.
- –3, –2, ___, ___, 1
- ___, 13, 25, ___, ___
- 1, 0.25, ___, –1.25, ___
- 92, ___, ___ ,___, 80
- Find the common difference for each of the following arithmetic sequences.
HINT: It may be helpful to complete the sequence with the missing terms. - ___, 6, 10, ___, 18
- –1, ___, –11, –16, ___
- 10, 5, ___, ___, –10
- ___, ___, 4.5, 6, ___
- ___, 12, 6, 0, ___