Arithmetic Sequence

A sequence is shown below.

-20, -17, -14, -11, -8, ...

Which explicit equation can be used to determine the value of the nth term in the sequence?

• a_n = n + 3

• a_n = 3n + 23

• a_n = n - 23

• a_n = 3n - 23

The sequence below shows the number of raffle tickets that Samantha sold each day during a month:

3, 7, 11, 15, ...

Which explicit formula models the number of tickets Samantha sold on day x?

• t(x) = 4x - 1

• t(x) = x + 4

• t(x) = 4x + 3

• t(x) = 3x + 4

Write a recursive formula for the sequence 8, 10, 12, 14, 16, ... Then find the next term.

• a_n = a_n-1 - 2; a₁ = 2; Next term is -2

• a_n = a_n-1 + 2; a₁ = 18; Next term is 8

• a_n = a_n-1 + 2; a₁ = 8; Next term is 18

• a_n = a_n-1 - 2; a₁ = 8; Next term is 18

Which explicit formula can be used to model the sequence?

• a_n = 3 - 11(n - 1)

• a_n = 2 + 3(n - 1)

• a_n = 11 - 3(n - 1)

• a_n = 3 + 2(n - 1)

The first three terms of an arithmetic sequence are as follows

13, 19, 25

What are the next two terms of the sequence?

• 31 and 37

• 31 and 36

• 30 and 37

• 30 and 36

Find the 46^th term of the arithmetic sequence 3, 8, 13, 18, 23, ...

• 288

• 228

• 338

• 388

An arithmetic sequence is an ordered set of numbers that have a ___________ between each consecutive term.

• addition

• multipilcation

• subtract

• common difference

Find the 20^th term of 2, 5, 8, 11 ....

• 29

• 39

• 49

• 59

What is the common difference of the sequence 2, -1, -4, -7,...?

• -3

• -1

• -2

• 3

What is a₁ in the following sequence?

• -6

• -14

• -22

• -30