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Practice

4.16.5 Practice

4.16.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

  1. Here are the first two terms of some different arithmetic sequences. What is the 5th term of each sequence?

    1. –2, 4 ...
    1. 11, 111 ...
    1. 5, 7.5 ...
    1. 5, –4 ...
  1. For each sequence, decide whether it could be arithmetic, geometric, or neither.

    1. 200, 40, 8, . . .
  1. Neither
  2. Arithmetic
  3. Geometric
    1. 2, 4, 16, . . .
  1. Neither
  2. Arithmetic
  3. Geometric
    1. 10, 20, 30, . . .
  1. Neither
  2. Arithmetic
  3. Geometric
    1. 100, 20, 4, . . .
  1. Neither
  2. Arithmetic
  3. Geometric
    1. 6, 12, 18, . . .
  1. Neither
  2. Arithmetic
  3. Geometric
  1. For each arithmetic sequence with missing terms, find the common difference that might help determine the missing terms.

    1. –3, –2, ___, ___, 1
    1. ___, 13, 25, ___, ___
    1. 1, 0.25, ___, –1.25, ___
    1. 92, ___, ___ ,___, 80
  1. Find the common difference for each of the following arithmetic sequences.
    HINT: It may be helpful to complete the sequence with the missing terms.

    1. ___, 6, 10, ___, 18
    1. –1, ___, –11, –16, ___
    1. 10, 5, ___, ___, –10
    1. ___, ___, 4.5, 6, ___
    1. ___, 12, 6, 0, ___