Arithmetic and Geometric Sequences

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

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

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

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

• 32
• 64
• 127
• 356

Tags

CCSS.HSF.BF.A.2

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

Tags

CCSS.HSF.BF.A.2

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

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

Identify the common difference or ratio.

3, 7, 11, 15, ...

• Ratio, -4

• Difference, -4

• Difference, 4

• Ratio, 4

Tags

CCSS.HSF.BF.A.2

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

Tags

CCSS.HSF.BF.A.2

What is the explicit rule for the sequence:
11, 22, 44, 88...

• u_n = 2(11)^n-1
• u_n = 11(2)
• u_n = 11(2)^n-1

Tags

CCSS.HSF.BF.A.2

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

• -5/2

• -2/5

• 2/5

• 5/2

Tags

CCSS.HSF.BF.A.2