Skip to lesson

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

Cogito

Algebra 2 · Chapter 7 · Lesson 1

Practice Worksheet

Arithmetic and Geometric Sequences

Adding the same, or multiplying by the same.

10 problems · about 20 minutes · F-BF.A.2, F-LE.A.2, A-SSE.B.4

NameDate

Figure — use these to answer the problems

An arithmetic sequence lands on a regular pattern; a geometric one does not.
Numbers 1 to 100, ten in each row. 3 is chosen.
Chosen number3
Common difference4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Exponential Models and Compound Interest”

    A 25% annual rise. What is the growth factor?

    Answer

  2. From “The Laws of Logarithms”

    log base 3 of 81. What is it?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Sequence 6, 11, 16. What is the 10th term?

    Answer

  2. What distinguishes a geometric sequence?

    • A constant ratio between terms.
    • A constant difference.

  3. Sequence 4, 7, 10. What is the 8th term?

    Answer

  4. Sequence 3, 6, 12. What is the 5th term?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Sequence 100, 90, 80. What is the 6th term?

    Answer

  2. Sequence 1, 2, 4, 8. Arithmetic or geometric?

    • Geometric.
    • Arithmetic.

Stretch Yourself

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

2 problems

  1. The Tenth Term

    Sequence 2, 5, 8, 11. What is the 10th term?

    Answer

  2. The Geometric One

    Sequence 2, 6, 18, 54. What is the 5th term?

    Answer