Free Compass Math Practice
on Geometric Sequences and Series - Sample 24

A set of questions similar to those in the compass test, with answers, on geometric sequences and series are presented. The answers to these questions are at the bottom of the page.

  1. What is the next term in the geometric sequence: 1 , - 4 , 16 , -64 , ...?

    A) 128
    B) 256
    C) - 256
    D) 1024
    E) - 1024

  2. What is the next term in the geometric sequence: 1 / 2 , - 1 / 4 , 1 / 8 , - 1 / 16 , ...?

    A) 1 / 32
    B) 1 / 64
    C) - 1 / 32
    D) - 1 / 64
    E) - 2

  3. What is the 7th term in the geometric sequence: - 0.1 , 0.01 , - 0.001 , 0.0001 , ...?

    A) 0.00001
    B) - 0.00001
    C) 0.000001
    D) - 0.000001
    E) - 0.0000001

  4. What is the 10th term in the geometric sequence: 8 , - 4 , 2 , - 1 , ...?

    A) 1 / 32
    B) 64
    C) - 1 / 64
    D) 1 / 64
    E) - 64

  5. What is the first A term in the geometric sequence: A , -2 , 6 , - 18 , ...?

    A) 1
    B) 1 / 2
    C) 1 / 3
    D) 2 / 3
    E) - 2 / 3

  6. What is the first A term in the geometric sequence: A , -1 , 5 , - 25 , ...?

    A) 1 / 5
    B) - 1 / 5
    C) 5
    D) - 5
    E) 1

  7. What is the 20th term in the geometric sequence: 1 , 2 -1 , 2 -2 , 2 -3 , ...?

    A) 2 - 20
    B) 2 20
    C) 2 - 19
    D) 2 - 21
    E) 2 19

  8. What is the next term in the geometric sequence: 2 / 5 , - 2 , 10 , - 50 , ...?

    A) - 100
    B) 100
    C) 500
    D) - 500
    E) 250

  9. What is the sum of the first 10 terms in the geometric sequence: 1 , 2 , 2 2 , 2 3 , ...?

    A) 2 10 + 1
    B) 2 10 - 1
    C) 2 11 - 1
    D) 2 11 + 1
    E) 2 10

  10. What is the sum of the first 6 terms in the geometric sequence: 1 , 0.1 , 0.01 , 0.001 , ...?

    A) 1.11
    B) 1.111
    C) 1.1111
    D) 1.11111
    E) 1.111111

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