Arithmetic and Geometric Sequences Quiz

Which of the following terms is closely associated to an arithmetic sequence?

• Common Ratio

• Common Difference

• Both A & B

• None of these

What is the common ratio of the sequence 36, 12, 4, ...?

• 3

• -3

• 1/3

• -1/3

The first term of a geometric sequence is 5, and the second term is 10, what is the sixth term?

• 160

• 80

• 320

• 640

The common ratio of a geometric sequence is ½, and the fourth term is 4. What is the third term of the sequence?

• 1

• ½

• ¼

• ¾

This refers to the sum of the terms of a geometric sequence.

• Series

• Limit

• Continuity

• All of these

This refers to the number that is being multiplied to obtain a geometric sequence.

• Number of Terms

• Common Difference

• Common Ratio

• All of these

Which of the following statements is true to all geometric sequences?

• If the common ratio is negative, then the sequence is increasing.

• If the common ratio is negative, then all the terms of the sequence is also negative.

• If the common ratio is less than one, then the sequence is decreasing.

• If the common ratio is less than one, then the sequence is increasing.

If the common ratio of a sequence is -3 and the first term is 3, then the fourth term is

• 81
• -81

• -27

• 27

Which of the following statements will let you obtain the common difference of an arithmetic sequence?

• Divide the first term by the second term of the sequence.

• Subtract the first term from the second term of the sequence.

• Subtract the second term from the first term of the sequence.

• Divide the second term by the first term of the sequence.

Find the 12th term of the geometric sequence 1, 2, 4, ...

• 512

• 1 024

• 2 048

• 1 112