Practice with Sequences

How do we find the common difference of an arithmetic sequence?

• take one term and subtract it from the previous term

• take one term and add it to the previous term

• take one term and divide it by the previous term

• take one term and multiply it by the previous term

Tags

CCSS.HSF.BF.A.2

How do we find the common ratio of a geometric sequence?

• take one term and subtract it from the previous term

• take one term and add it to the previous term

• take one term and divide it by the previous term

• take one term and multiply it by the previous term

Tags

CCSS.HSF.BF.A.2

Look at the geometric sequence: 0.2, 1, 5, 25. Take the term 25 and divide it by 5. What is your common ratio?

• 0.2

• 5

• 20

• -20

Tags

CCSS.HSF.BF.A.2

Look at the arithmetic sequence: -184, -207, -230, -253. Take the term -184 and subtract it from -207. What is your common difference.

• 23

• 1.125

• -23

• -1.125

Tags

CCSS.HSF.BF.A.2

In the following sequence 1, -3, 9, -27, 81, to find the common ratio I can:

• Divide -3 by 1

• Divide -3 by 9

• Divide 9 by -27

• Divide -27 by 81

Tags

CCSS.HSF.BF.A.2

In the following sequence 0, 1.25, 2.5, 3.75, 5, to find the common difference I can:

• Subtract 1.25 from 0

• Subtract 2.5 from 1.25

• Subtract 3.75 from 2.5

• Subtract 3.75 from 5

Tags

CCSS.HSF.BF.A.2

If the following sequence has a common ratio of 0.5, what would the next term be? (ratio means to multiply)

32, 16, 8,...

• 4

• 16

• 8.5

• -8.5

Tags

CCSS.HSF.BF.A.2

If the following sequence has a common difference of 3, what would the next term be? (difference means to add or subtract)

2, 5, 8, 11...

• 12

• 13

• 14

• 33

Tags

CCSS.HSF.BF.A.2

Looking at the sequence: 45, 90, 180, 360

Determine if its arithmetic or geometric.

Determine the common ratio or common difference.

• geometric; 2

• geometric; 0.5

• arithmetic; 2

• arithmetic; 0.5

Tags

CCSS.HSF.BF.A.2

Looking at the sequence: 6.5, 5, 3.5, 2

Determine if its arithmetic or geometric.

Determine the common ratio or common difference.

• geometric; 1.5

• geometric; -1.5

• arithmetic; -1.5

• arithmetic; 1.5

Tags

CCSS.HSF.BF.A.2