3.11 Arithmetic Sequences

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

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

Is the sequence arithmetic: 37, 31, 25, 19, ...

• Yes
• No

Tags

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

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31
• 5, -11, -27, -43
• -16, -80, -500, -200
• -16, -11, -6, -1

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

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

• 6
• 5
• 4
• 2

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

Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...

• a₁=82; a_n = a_n-1-6
• a₁=64; a_n = a_n-1-6
• a₁=82; a_n = a_n-1+6
• a₁=64; a_n = a_n-1+6

Tags

CCSS.HSF.BF.A.2