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Cogito

Integrated Math 1 · Chapter 5 · Lesson 2

Practice Worksheet

Geometric Sequences

Multiplying the same amount each time.

12 problems · about 20 minutes · F-BF.A.2, F-LE.A.2

NameDate

Figure — use these to answer the problems

Set the base to the common ratio. Geometric terms sit on this curve at whole-number positions.
-8-8-6-6-4-4-2-222446688
y = 2 · 2^x + 0
a, first term2
r, common ratio2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. a₁ = 4, r = 3. What is the 4th term?

    Answer

  2. A geometric sequence corresponds to which kind of function?

    • An exponential function.
    • A linear function.

  3. 2, 6, 18, 54. Common ratio?

    Answer

  4. 80, 40, 20, 10. Common ratio?

    Answer

  5. a₁ = 5, r = 2. What is the 4th term?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. a₁ = 1, r = 3. What is the 5th term?

    Answer

  2. 2, −6, 18, −54. Common ratio?

    Answer

  3. a₁ = 100, r = 0.5. What is the 4th term?

    Answer

Stretch Yourself

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

4 problems

  1. Sort each sequence by its type.

    Write each item under the heading it belongs to: 3, 8, 13, 18 · 50, 45, 40, 35 · 5, 15, 45, 135 · 64, 32, 16, 8

    Arithmetic

    Geometric

  2. a₁ = 2, r = 4. What is the 4th term?

    Answer

  3. The Ratio

    4, 12, 36, 108. What is the common ratio?

    Answer

  4. The Term

    a₁ = 3 and r = 2. What is the 6th term?

    Answer