Arithmetic Sequences

• 2, 5, 7, 12

• 2, 7, 9, 14

• 2, 5, 10, 15

• 2, 7, 12, 17

The table below shows a pattern.

Based on the table, which expression represents the value of the nth term of the pattern?

• n - 2

• 4n + 3

• n² - 2

• n² + 2

A sequence is shown below.

2, 5, 8, 11, ...

Which explicit formula can be used to model the sequence?

• a_n = 2 + 3(n -1)

• a_n = 3 + 2(n -1)

• a_n = 3 - 11(n -1)

• a_n = 11 - 3(n -1)

An arithmetic sequence is shown below.

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

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

• a_n = -4n + 9

• a_n = -4n + 5

• a_n = -5n + 9

• a_n = -5n + 1

A sequence is shown below.

32, 26, 20, 14, ...

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

• a_n = 6n + 38

• a_n = 6n + 32

• a_n = -6n + 38

• a_n = -6n + 32

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) = x + 4

• t(x) = 3x + 4

• t(x) = 4x - 1

• t(x) = 4x + 3

The 5th, 6th, and 7th terms of an arithmetic sequence are shown below.

-10, -7, -4

Which is an explicit formula for this sequence?

• f(n) = -3n - 25

• f(n) = -3n - 19

• f(n) = 3n - 19

• f(n) = 3n - 25

The function below describes an arithmetic sequence, where A(n) is the nth term and n is the term number.

A(n) = 6 + 3(n - 1)

Which table best fits the sequence?

• 
• 
• 
• 

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

• a_n = a_{n − 1} + 2, where a₁ = 8; 18

• a_n = a_{n − 1} + 2, where a₁ = 18; 8

• a_n = a_{n − 1} − 2, where a₁ = 8; 18

• a_n = a_{n − 1} − 2, where a₁ = 2; –2

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

• a_n= a_n-1 - 8

• a_n= a_n-1 + 7

• a_n= a_n-1 - 7

• a_n= a_n-1 + 8