Sequences- Arithmetic and Geometric

Sequences

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Open Ended

How many puppies will there be in the 30th round?

Multiple Choice

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

• Arithmetic
• Geometric
• Neither

Multiple Choice

For each sequence, state if it is arithmetic, geometric, or neither.
−34, −26, −18, −10, −2, ... 

• Arithmetic
• Geometric
• Neither

Multiple Choice

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic
• Geometric
• Neither

Multiple Choice

What is the Rule for this sequence?
97, 86, 75, 64, ...

• +8
• +11
• -11
• -8

Multiple Choice

Is the sequence geometric? If so, identify the common ratio.

6, 12, 24, 48

• yes, 2

• yes, -2

• yes, 4

• no

Multiple Choice

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

• 2

• 4

• 6

• 8

Multiple Choice

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11

  a₁=6

• a_n=a_n-1-4

  a₁=6

• a_n=a_n-1+9

  a₁=6

• a_n=a_n-1+6

  a₁=6

Multiple Choice

What is the Rule for this sequence?

3, 7, 11, 15, ...

• +6

• +5

• +4

• +2

Multiple Choice

Find the explicit formula:

-3, -33, -63, -93, ...

• a_n = -3 - 30(n -1)

• a_n = -3 + 30(n -1)

• a_n = -30 - 3(n -1)

• a_n = -30 + 3(n -1)

Multiple Choice

What is the common ratio for the sequence:

28, 14, 7, 3.5...

• 2

• 1/2

• -14

• -7

Multiple Choice

Write a recursive formula for the following sequence:

16,8, 4, 2,...

• a₁=16

  a_n=a_n-1 (2)

• a₁=16

  a_n=a_n-1 (1/2)

• a₁=16

  a_n=a_n-1 + (1/2)

• a₁=16

  a_n=a_{n-1 +} (2)

Multiple Choice

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Multiple Choice

Find the general rule for: 64, -32, 16, -8, …

• 64(1/2)^n-1

• (-32)^n-1

• 64(-1/2)^n-1

• (32)^n-1