Arithmetic Sequences

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

Find the common difference and the next 3 terms in the sequence; -14,-5, 4, 13

• d = 13; 26, 39, 52

• d = 4; 17, 21, 25

• d = -14; -1, -15, -30

• d = 9; 22, 31, 40

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

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

• Yes

• No

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

• 6

• 5

• 4

• 2

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

• a₁ = 3 and d = -5

• a₁ = -8 and d = 3

• a₁ = -5 and d = 3

• a₁ = -5 and d = -3

Find the common difference: 1, 201, 401, 601, ...

• d = 100

• d = 101

• d = 200

• d = 201

Find the common difference and the next 3 terms in the sequence; -39,-47, -55, -63

• d = 8; -55, -47, -39

• d = -8; -71, -79, -87

• d = -5; -68, -73, -78

• d = 5; -58, -53, -48

Find the sequence 10, 20, 30, 40.........

• Multiply by 10

• Add 10  

• Multiply by 2

Identify the next three terms of the sequence below:

• -17, -21, -25

• 17, 21, 25

• 18, 22, 26

• -18, -22, -26