Arithmetic and Geometric Sequences

Remember that arithmetic sequences have a common difference (add/subtract). Geometric sequences have a common ratio (multiply/divide).

SELECT the TWO true statements!

• Arithmetic sequences have a common difference and we are adding the same number each time.

• Arithmetic sequences have a common difference and we are multiplying the same number each time.

• Geometric sequences have a common ratio and we are adding the same number each time.

• Geometric sequences have a common ratio and we are multiplying the same number each time.

Tags

CCSS.HSF.BF.A.2

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

What is the common ratio of this sequence?

{2, 10, 50, 250, ... }

[What are we multiplying by to get the next term?]

• 1,250

• 5

• 10

• 50

Tags

CCSS.HSF.BF.A.2

What is the common difference in this sequence?

{48, 32, 16, 0, ... }

[What are we adding to get to the next term?]

• 1/2

• 2

• -8

• -16

Tags

CCSS.HSF.BF.A.2

Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

What is the common ratio in this sequence? 
{96, 48, 24, 12, ... }

[Remember that we are MULTIPLYING to get from one term to the next.]

So  $\div$  8 would be the same as  $\times\frac{1}{8}$  .

• 1/2

• 2

• 12

• 24

Tags

CCSS.HSF.BF.A.2

Dividing by 5 is the same as...

• × 5
• ÷ 1/5
• - 5
• × 1/5

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

The next term of the sequence 11,8,5,2 is...

• -1

• -2

• 1

• 2

Tags

CCSS.HSF.BF.A.2

Which sequence is an arithmetic sequence?

• 3, 6, 2, 7, ...

• 3, 6, 12, 24, ...

• 3, 6, 10, 15, ...

• 3, 7, 11, 15, ...

Tags

CCSS.HSF.BF.A.2

Which sequence is a geometric sequence with a common ratio of 2?

• 5, 3, 1, -1, ...

• 5, 7, 9, 11, ...

• 5, 10, 20, 40, ...

• 5, 15, 45, 135, ...

Tags

CCSS.HSF.BF.A.2