Skip to lesson

Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Precalculus · Chapter 4 · Lesson 1

Practice Worksheet

Arithmetic and Geometric Sequences

Adding the same, or multiplying by the same.

11 problems · about 22 minutes · TEKS P.5.B, P.5.C

NameDate

Figure — use these to answer the problems

An arithmetic sequence lands on evenly spaced points.
012345678910

2

A term2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. a₁ = 3, d = 7. What is a₅?

    Answer

  2. 2, 5, 8, 11. Common difference?

    Answer

  3. 2, 5, 8, 11. What is the 5th term?

    Answer

  4. 1, 3, 9, 27. Common ratio?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. 1, 3, 9, 27. What is the 5th term?

    Answer

  2. Sort each sequence by its kind.

    Write each item under the heading it belongs to: 4, 8, 12, 16 · 4, 8, 16, 32 · 10, 7, 4, 1

    Arithmetic

    Geometric

  3. a₁ = 6, d = 5. What is a₄?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. a₁ = 2, r = 4. What is a₃?

    Answer

  2. For the nth term, how many steps are taken from the first term?

    Answer

  3. The Difference

    5, 9, 13, 17. What is the common difference?

    Answer

  4. The Ratio

    3, 6, 12, 24. What is the common ratio?

    Answer