5.2 Arithmetic Sequences

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

• 8
• 11
• -11
• -8

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CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15
• -5, 2, 9
• 3, 12, 21
• -65, -73, -81

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

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

Tags

CCSS.HSF.BF.A.2

What is the rule (explicit equation) for the n^th term given 
60, 55, 50, 45, ...

• a_n= -5+60n
• a_n= -5n+55
• a_n= -5n+65
• a_n= 5n+55

Tags

CCSS.HSF.BF.A.2

Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...

• a_n = 12n - 14
• a_n = 2n - 14
• a_n = -2n + 14
• a_n = -12n + 14

Tags

CCSS.HSF.BF.A.2

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

• a₁ = 3 and d = -5
• a₁ = -8 and d = 3
• a₁ = -5 and d = 3
• a₁ = -5 and d = -3

Tags

CCSS.HSF.BF.A.2

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

Tags

CCSS.HSF.BF.A.2

The pattern followed by the sequence 3,6,9,12 is...

• +3
• +4
• -4
• +6

Tags

CCSS.HSF.BF.A.2

What are the first 4 terms of an arithmetic sequence with a pattern of -6 if the first term is 76?

• 76, 70, 64, 58

• 76, 82, 88, 94

• 70, 64, 58, 52

• 82, 88, 94, 100

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2