Geometric Sequence

Write the explicit formula for the geometric sequence.

• a_n = -4(3)^n-1

• a_n = 4(3)^n-1

• a_n = 3(-4)^n-1

• a_n = 3(4)^n-1

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147

• -59,049

• -19,683

• 118,098

Given the sequence: 125, 25, 5, ... Write the rule a_n using the geometric sequence formula:

• a_n = 125(1/5)^n-1

• a_n = 625(1/5)^n-1

• a_n = 125 + 5n

• a_n = 625(5)^n-1

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 6

• 3

• 2

• 4

What does r represent?

• Common ratio

• Common difference

• Radical

How is an geometric sequence found?

• By adding the same number to the previous term.

• By multiplying the previous term by the same number. 

Describe the relationship between the terms in the geometric sequence
2, 4, 8, 16

• Multiplying the previous term by 2. 

• Adding by 2 to the previous term. 

• Subtracting the previous term by 4

• Multiplying the previous term by 4

Describe the relationship between the terms in the geometric sequence
3, 9, 27, 81

• Multiplying the previous term by 2

• Multiplying the previous term by 3

• Dividing the previous term by 3

• Adding 3 to the previous term

Describe the relationship between the terms in the geometric sequence
4, 16, 64, 256

• Adding 12 to the previous term. 

• Multiplying the previous term by 3

• Multiplying the previous term by 4

• Multiplying the previous term by 6

What 3 terms come next in the sequence? 
2, 4, 8, 16

• 32, 64, 128

• 18, 20, 22

• 24, 28, 32

• 32, 60, 120