Sequence Arithmetic

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

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

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

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 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

Write a recursive rule for the sequence -10, -3, 4, 11, ...

• a_n = a_n-1 - 7

• a_n = a_n-1 + 8

• a_n = a_n-1 - 8

• a_n = a_n-1 + 7

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

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

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

• -3

• -1

• -2

• 3

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