GEOMETRIC SEQUENCE QUIZ

What is the definition of a geometric sequence?

• A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

• A sequence of numbers where each term is found by dividing the previous term by a fixed, non-zero number called the common ratio.

• A sequence of numbers where each term is found by subtracting the previous term by a fixed, non-zero number called the common ratio.

• A sequence of numbers where each term is found by adding the previous term by a fixed number called the common ratio.

In the geometric sequence 2,6,18,54,… what is the common ratio r?

• 12
• 9
• 2
• 3

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

• a₁rⁿ

• a₁r^(n-1)

• a₁(r-1)ⁿ

Find the 5th term of the geometric sequence where a=4and r=2.

• 16
• 32
• 128
• 64

What is the sum of the first 4 terms of a geometric sequence where a=5and r=3?

• 200
• 125
• 60
• 150

What is the formula to find the sum of the first n terms of a geometric sequence?

• 12.25
• 10.75
• 8.5
• 14.5

• 13.5
• 18
• 6
• 4.5

• 2.5
• 12
• 7.5
• 5

In the geometric sequence 5,15,45,… what is the common ratio r?

• 3
• 10
• 25
• 2