Untitled Lesson

Geometric Sequences as Exponential Functions

Multiple Choice

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3
• a_n = 5(3)^n-1
• a_n = 3(5)^n-1
• a_n = 5 + (n-1)3

Multiple Choice

Write the explicit formula for the following geometric sequence:

10, 20, 40, 80, ...

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Multiple Choice

Write the explicit rule for the following geometric sequence:

2, -12, 72, ...

• a_n = 72(-6)^n-1

• a_n = 2(-6)^n-1

• a_n = 2(6)^n-1

• a_n = 72(-6)^n-1

Multiple Choice

Write the explicit formula for the following geometric sequence:

3, -12, 48, -192, ...

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Multiple Choice

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500
• 5, 20, 80, 320
• 4, 20, 100, 500
• 4, 9, 14, 19

Multiple Choice

Which sequence is represented by the equation 2(7)^n-1 ?

• 7, 14, 28, 56...
• 2, 14, 98, 686...
• 2, 9, 16, 23...
• 7,9,11,13...

Multiple Choice

Find the 11^th term for:  64, -32, 16, -8, …  

• -.0625
• .0625
• -.03125
• .03125

Multiple Choice

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

• 384

• 512

• 768

• 1,024

Multiple Choice

Find a₁₁ in the following geometric sequence:

-3, 6, -12, 24

• -4,096

• -¹/₂₅₆

• -3,072

• -236,196

Multiple Choice

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

• -177,147
• -19,683
• -59,049
• 118,098

Multiple Choice

Find a₁₂ for the geometric sequence defined by the following formula:

a_n = 6(2)^n-1

• 4096

• 24,576

• 2048

• 12,288

Multiple Choice

Given the formula for a geometric sequence,  $$a_1$$   stands for $$a_n=a_1r^{n-1}$$  

• common difference

• wanted term

• common ratio

• first term

Multiple Choice

$$a_n=a_1r^{n-1}$$  

Given the formula for a geometric sequence , r stands for

• common difference

• wanted term

• common ratio

• first term

Multiple Choice

$$a_n=a_1r^{n-1}$$  

Given the formula for a geometric sequence,  $$a_n$$   stands for

• common difference

• wanted term

• common ratio

• first term

Multiple Choice

What is the common ration of 9,-36, and144

• -47
• 4
• -4
• 27

Multiple Choice

The next term of sequence 2,4,8,16 is

• 64
• 108
• 32
• 20

Multiple Choice

The next term in the series is 4,16,32,

• 256
• 120
• 132
• 150

Multiple Choice

Find the missing term of the geometric sequence: 45, ______, 1620

• 9720
• 51
• 6
• 270

Multiple Choice

$$a_n=a_1r^{n-1}$$  

Consider the first six terms of this sequence : 3,6,12,24,48,96….. What would be the 19th term of the sequence

• 393216

• 786432

• 1572864

• 1162261467

Multiple Choice

What is the common ratio of the geometric sequence whose first term is 5 and third term in 245?

• 7
• 49
• 120
• 240

Multiple Choice

$$a_n=a_1r^{n-1}$$  

Find the 7th term in the sequence when the first term is 2, and the common ratio is 4

• 8192

• 32768

• 2048

• 512