9.3 Arithmetic Sequences

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n = 2 + 6n
• a_n= - 6 + 6n
• a_n= 6n - 4
• a_n= 4 - 6n

Identify the common difference.
3, 7, 11, 15, ...

• 6
• 5
• 4
• 2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• 32
• 64
• 127
• 356

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

The next two terms of the sequence 4, 7, 10, 13 are ....

• 16 and 19
• 15 and 19
• 16 and 18
• 15 and 18

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

• 8
• 11
• -11
• -8

For a sequence to be considered arithmetic, it should contain a

• common difference
• common ratio
• variable rate of change
• graph

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Select the explicit rule that represents the sequence.

• a_n = 11 - 68(n - 1)
• a_n = 68 - 9(n - 1)
• a_n = 68 - 11(n - 1)
• a_n = 9 + 68(n - 1)

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18
• 17
• 15
• 14