Arithmetic Sequences

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 + 5

• a_n = -4n + 9

• a_n = -5n + 1

• a_n = -5n + 9

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

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 - 19

• f(n) = -3n - 25

• f(n) = 3n - 25

• f(n) = 3n - 19

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3