Arithmetic and Geometric Patterns

Open Ended

What is a sequence in Math?

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

What variable represents the common difference?

• d

• a

• n

• an

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

Which of the following answer choices is the definition of an arithmetic sequence?

• A sequence made by dividing the same value each time.

• A sequence made by adding the same value each time.

• A sequence made by multiplying the same value each time.

• A sequence made that rotate the same numbers every 4 terms.

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Multiple Choice

Which of the following is an arithmetic sequence?

• 2,5,9,12,15...

• 5,10,16,21,26...

• 3,10,17,24...

• 8,13,19,24,30...

Multiple Choice

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes
• No

Multiple Choice

Is the sequence arithmetic: -3, 3, -3, 3, ...

• Yes
• No

Multiple Choice

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes
• No

Multiple Choice

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

• arithmetic

• geometric

• neither

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

Multiple Choice

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

• yes
• no

Multiple Choice

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Open Ended

Find r, the common ratio.

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

Multiple Choice

Find the common difference: 29, 21, 13, 5, ...

• d = -10
• d = -9
• d = -8
• d = -7

Multiple Choice

Find the common difference: -34, -29, -24, -19, ...

• d = -5
• d = 5
• d = -6
• d = 6

Multiple Choice

Find the common difference: -18, -23, -28, -33, ...

• d = -5
• d = 5
• d = -3
• d = 3

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

Find the common difference: 1, 201, 401, 601, ...

• d = 100
• d = 101
• d = 200
• d = 201

Multiple Choice

What is the common difference of the sequence 2, -1, -4, -7,...?

• -3

• -1

• -2

• 3

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

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

Multiple Choice

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

• 182
• 176
• 170
• -118

Multiple Choice

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32
• 64
• 127
• 356