Arithmetic Sequence

• -4, 34, 72, 110, 148

• 38, 42, 46, 50, 54

• 38, -152, 608, -2432, 9728

• 38, 34, 30, 26, 22

Tags

CCSS.HSF.BF.A.2

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

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

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.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

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

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

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

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

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)

Tags

CCSS.HSF.BF.A.2