Mastering Geometric Sequences

What is the common ratio in the sequence 2, 6, 18, 54?

• 6

• 3

• 4

• 2

Identify if the sequence 5, 15, 45, 135 is geometric.

• No, the sequence is random.

• Yes, the sequence is not geometric.

• No, the sequence is arithmetic.

• Yes, the sequence is geometric.

What is the 5th term of the geometric sequence 3, 9, 27, ...?

• 243

• 729

• 81

• 162

Determine the common ratio of the sequence 1/2, 1, 2, 4.

• 2

• 1

• 3

• 4

Is the sequence 7, 14, 28, 56 a geometric sequence?

• No

• It is an arithmetic sequence

• The sequence is random

• Yes

Find the 4th term of the geometric sequence where the first term is 4 and the common ratio is 3.

• 81

• 36

• 108

• 12

What is the formula for the nth term of a geometric sequence?

• a_n = a_1 + r^(n-1)

• a_n = r^(n-1)

• a_n = a_1 * n * r

• a_n = a_1 * r^(n-1)

Identify the first term and common ratio of the sequence 81, 27, 9, 3.

• First term: 81, Common ratio: 1/4

• First term: 9, Common ratio: 3

• First term: 27, Common ratio: 1/2

• First term: 81, Common ratio: 1/3

If the first term of a geometric sequence is 10 and the common ratio is 0.5, what is the 6th term?

• 5

• 0.625

• 1.25

• 0.3125

Is the sequence 1, 1, 1, 1 a geometric sequence? If so, what is the common ratio?

• No, it is not a geometric sequence.

• Yes, the common ratio is 1.

• Yes, the common ratio is 2.

• No, the common ratio is 0.