Arithmetic Sequences and Recursive Formulas

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Common denominator

• Common opposites

• Common domain

• Common difference

Identify the common difference for the given arithmetic sequence.

3, 10, 17, 24, 31, ...

• d = -7

• d = -8

• d = 7

• d = 3

Find a₄.

9, 6, 3, 0, -3, ...

• 9

• 6

• 0

• -4

Find a₇.

15, 20, 25, 30, 35, ...

• 25

• 35

• 40

• 45

What is the 15th term of the sequence an = -3n+50

• 95

• -5

• 5

• -95

What is the 40th term in the sequence with the given explicit formula: 4n - 32

• 12

• 138

• 128

• -16

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=-4+6n

• a_n=4-6n

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

• a_n = 29+4n

• a_n = 25-4n

• a_n = 29-4n

• a_n = 25+4n