Geometric Sequences and Series Quiz

What is the common ratio of the sequence: 2, 6, 18, 54, ...?

• 2

• 3

• 4

• 6

Find the 6th term of the sequence: 3, 12, 48, 192, ...

• 768

• 1536

• 3072

• 6144

Which of the following is a geometric sequence?

• 1, 3, 5, 7, 9

• 2, 4, 8, 16, 32

• 5, 10, 15, 20, 25

• 10, 20, 30, 40, 50

The sum of the first 4 terms of 5, 10, 20, 40, ... is:

• 65

• 70

• 75

• 80

If the 2nd term of a geometric sequence is 12 and the 5th term is 324, what is the common ratio?

• 2

• 3

• 4

• 6

The sum to infinity of 16 + 8 + 4 + 2 + ... is:

• 24

• 28

• 32

• 36

Three numbers in geometric progression have a product of 216. The middle number is:

• 4

• 5

• 6

• 7

A bacteria culture doubles every hour. Starting with 100 bacteria, how many will there be after 6 hours?

• 3200

• 4800

• 6400

• 7200

Find the 7th term of: 1, 4, 16, 64, ...

• 1024

• 2048

• 3072

• 4096

The common ratio of the sequence: 256, 64, 16, 4, ... is:

• 1/2

• 1/3

• 1/4

• 1/8