Geometric Sequences Drills

Which of the following presents a geometric sequence?

• 12, −12, 12, −12, …

• 32, 24, 16, 8, …

• 12, 252, 13, 272, …

• 1, 2, 3, 5, 8, …

• −1

• 0

The first term of a geometric sequence is 2, and the second term is 10, what is the fourth term?

• 250

• 500

• 100

• 1 250

• 1

• 2

Find the 11th term of the geometric sequence 1, 2, 4,...

• 512

• 2 048

• 1 024

• 1 112

Find the sum of the terms of the infinite geometric sequence 60, 45, 15, 5, …

• 67.5

• 90

• 68

• 68.5

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

• 3

• −3

Find the sum of the first seven terms of the geometric series 4, 8, 16, 32, ...

• 682

• 679

• 508

• 743

Which of the following statements is NOT true to all geometric sequences?

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

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

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

• If the common ratio is negative, then the terms of the sequence have an alternating signs.

Find the sum of the terms of the infinite geometric sequence 200, 100, 50, 25, …

• 50

• 100

• 200

• 400