Arithmetic Sequences

Define arithmetic sequences.

• A sequence whose terms change by adding the same number each time.

• A sequence whose terms change by multiplying the same number each time.

• A sequence whose terms change by dividing the same number each time.

• A list of numbers that often (but not always) form a pattern.

Which of the following is the next three terms in the sequence 2, 5, 10, 17, 26, ...?

• 30, 42, 52

• 37, 41, 52

• 34, 42, 52

• 37, 50, 65

What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27

• 18,23
• 18, 24
• 17, 25
• 17, 24

What is the pattern?

70, 60, 50, 40

• add 10

• add 5

• subtract 10

• multiply 2

 $a_x\ =2n-5$  What is the 27th term in the sequence given the explicit formula

• 48

• 49

• 50

• 51

What is the 20th term in the sequence 2, 4, 6, 8, ...

• 36

• 38

• 40

• 42

Find the common difference: -34, -29, -24, -19, ...

• d = -5
• d = 5
• d = -6
• d = 6

An arithmetic sequence is shown below.

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

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

• -4n + 5

• -4n + 9

• -5n + 1

• -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?

• -6n + 38

• 6n + 32

• 6n + 38

• -6n + 32