Sequences

256, 128, 64, 32, ...

What's next?

• 24

• 18

• 16

• 8

Tags

CCSS.HSF.BF.A.2

To find the next term in an arithmetic sequence…

• add the common difference d

• multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Tags

CCSS.HSF.BF.A.2

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 6)

• geometric (common ratio r = 4)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Tags

CCSS.HSF.BF.A.2

A sequence can be generated by using a_n = 5a_(n-1)

where a₁ = 3

and n is a whole number greater than 1.

Which term describes this sequence?

• arithmetic

• geometric

• neither of these

Tags

CCSS.HSF.BF.A.2

Which of the following is not an arithmetic sequence?

• 1/2, 1, 3/2, 2

• 11, 14, 17, 20

• 2, 4, 8, 16

• 5, 2, -1, -4

Tags

CCSS.HSF.BF.A.2

Identify the next three terms of the sequence below:

-6, -10, -14,...

• -17, -21, -25

• 17, 21, 25

• 18, 22, 26

• -18, -22, -26

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the sequence shown below.

3, -3, -9, -15

• a_n=3+6(n-1)

• a_n=3−6(n-1)

• a_n=6−3(n-1)

• a_n=6+3(n-1)

Tags

CCSS.HSF.BF.A.2

What is the 20^th term of the arithmetic sequence shown below.

7, 4, 1,...

• -49

• 50

• -50

• -51

Tags

CCSS.HSF.BF.A.2