Geometric Sequences Quiz

What is a key characteristic of a geometric sequence?

• It has decreasing ratios between terms.

• It has increasing differences between terms.

• It has a constant ratio between terms.

• It has a constant difference between terms.

How do you find the nth term of a geometric sequence?

• Add the first term to the common ratio raised to the power of n-1.

• Add the first term to the common ratio raised to the power of n.

• Multiply the first term by the common ratio raised to the power of n.

• Multiply the first term by the common ratio raised to the power of n-1.

If the first term of a geometric sequence is 81 and the common ratio is 1/3, what is the third term?

• 1

• 9

• 27

• 3

How can you find the common ratio of a geometric sequence?

• Divide the first term by the second term.

• Multiply the first term by the second term.

• Divide the second term by the first term.

• Subtract the first term from the second term.

What is the 11th term of a geometric sequence with a first term of 81 and a common ratio of 4/3?

• 11438.38

• 12345.67

• 9876.54

• 5678.90

In a geometric sequence, if the second term is 6 and the common ratio is 3, what is the first term?

• 1

• 4

• 2

• 3

What is the value of the nth term if the first term is 2 and the common ratio is 3?

• 3 * 2^n

• 2 * 3^(n-1)

• 2 * 3^n

• 3 * 2^(n-1)

How many geometric means are there between 3.12 and 49.92?

• 2

• 1

• 3

• 4

What is the common ratio if the geometric means between 3.12 and 49.92 are found?

• 1

• 2

• 3

• 4

What is the fourth term in the sequence starting with 3.12 and a common ratio of 2?

• 6.24

• 49.92

• 12.48

• 24.96