Arithmetic Sequence

Identify the common difference.

• 5

• 10

• 15

• 20

Given the recursive rule, find the 4th term of the sequence.

• 9

• -2

• -1

• 14

• 7, 49, 343, 2401, 16807

• 3, 7, 11, 15, 19

• 4, 7, 10, 13, 16

• 4, 12, 36, 144, 576

-28 is the _____ term of the following arithmetic sequence:

7, 2, -3, ...

• 5th

• 6th

• 7th

• 8th

The 5th, 6th, and 7th terms of an arithmetic sequence are shown below.

-10, -7, -4, ...

Which is an explicit formula for this sequence?

• f(n) = -3n - 19

• f(n) = -3n - 25

• f(n) = 3n - 25

• f(n) = 3n - 19

An arithmetic sequence has these properties: a₁ = 2 a_n = a_(n-1) + 5 What are the first four terms of the sequence?

• 2, 5, 10, 15

• 2, 5, 7, 12

• 2, 7, 9, 14

• 2, 7, 12, 17

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

The table shown shows a pattern.

Based on the table, which expression represents the value of the nth term of the pattern?

• n - 2

• n² + 2

• 4n + 3

• n² - 2

The first four terms of a sequence are shown below.

-10, -14, -18, -22, ...

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

• a_n = n - 10

• a_n = -4n - 14

• a_n = -4n - 6

• a_n = n - 4