Arithmetic Sequences and Parent Functions

Find the common difference: -18, -23, -28, -33, ...

• d = -5
• d = 5
• d = -3
• d = 3

Find the common difference: 29, 21, 13, 5, ...

• d = -10
• d = -9
• d = -8
• d = -7

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

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

• -20, -24, -28
• -21, -25, -29
• -23, -28, -33
• -24, -29, -32

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

• 45, 54, 63
• 49, 59, 69
• 39, 49, 59
• 59, 69, 79

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6
• a_n=a_n-1-4
  a₁=6
• a_n=a_n-1+9
  a₁=6
• a_n=a_n-1+6
  a₁=6

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

An arithmetic sequence is shown below.

5, 1, -3, -7, ...

Which explicit formula can be used to determine the nth term of the sequence?

• a_n = -4n + 5

• a_n = -4n + 9

• a_n = -5n + 1

• a_n = -5n + 9

A sequence is shown below.

32, 26, 20, 14, ...

Which explicit formula can be used to determine the nth term of the sequence?

• a_n = -6n + 38

• a_n = 6n + 32

• a_n = 6n + 38

• a_n = -6n + 32