Geometric Sequences and Series Quiz

What is the defining characteristic of a geometric sequence?

• A constant difference between terms

• A constant ratio between terms

• A variable difference between terms

• A variable ratio between terms

How do you find the common ratio in a geometric sequence?

• Divide the second term by the first term

• Multiply the first term by the second term

• Subtract the first term from the second term

• Add the first term to the second term

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

• 1,485.76

• 729

• 1,438.376

• 1,000

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

• 9

• 6

• 3

• 2

Why can't you multiply the first term by the common ratio directly if the ratio has an exponent?

• Because exponents must be calculated first

• Because the first term is always smaller

• Because the first term is always larger

• Because the ratio must be added first

What is the fourth term in a geometric sequence if the first term is 3.12 and the common ratio is 2?

• 24.96

• 12.48

• 49.92

• 6.24

What is the formula for the sum of a finite geometric series?

• First term plus the common ratio

• First term minus the common ratio

• First term times the common ratio

• First term times (1 minus the ratio to the nth power) divided by (1 minus the ratio)

How do you calculate the sum of the first 10 terms of a geometric series?

• Use the formula for the sum of a finite geometric series

• Subtract the common ratio from the first term

• Add the first term to the common ratio

• Multiply the first term by 10

What is the common ratio if the first term is 4 and the second term is 2?

• 1/2

• 2

• 4

• 8

If the sum of the first 8 terms of a geometric series is 765 and the common ratio is 2, what is the first term?

• 24

• 12

• 6

• 3