Geometric Sequences

Geometric Sequences

Multiple Choice

What is an arithmetic sequence?

A sequence made by ______ the ____ value each time.

• adding; first

• multiplying; same

• adding; same

• multiplying; first

Open Ended

Write the next three terms in this sequence.

{1, 4, 7, ...}

Multiple Choice

Arithmetic sequences change by ADDING the SAME value each time.

Which of these sequences are arithmetic sequences?

a) {3, 6, 12, 24, ...}

b) {32, 16, 8, 4, ...}

• Only a

• Only b

• Both a & b

• Neither

Multiple Choice

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

Multiple Choice

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither

Multiple Choice

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Multiple Choice

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

• 4

• 3

• 2

• 6

Open Ended

Find r, the common ratio.

{3, 9, 27, 81, ...}

Multiple Choice

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

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

What is the 14th term of the geometric sequence?

• 14,348,907
• 4,782,969
• 1,594,323
• 45

Multiple Choice

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

• $10

• $300

• $162

• $416