Properties of Arithmetic

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 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

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

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 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

• Commutative Propery

• Distributive Property

• Associative Property

• Yes, Associative Property

• Yes, Commutative Property
  

• Yes, Distributive Property

• Not equivalent 

Which expression is an example of the Associative Property?

• Distributive Property

• Associative Property

• Commutative Property

• Multiply by 0 Property