Unit 3b Sequence Review

A sequence is shown.

^–8, 1, 10, 19, . . .

 

What is the explicit formula of the sequence?

• A.

  f(n) = n – 8

• B.

  f(n) = n + 9

• C.

  f(n) = 9n – 8

• D.

  f(n) = 9n – 17

 

• a

• b

• c

• d

A sequence is shown below.

26, 30, 34, 38, . . .

what is the 30th term?

• A.

  60

• B.

  56

• C.

  146

• D.

  142

• a. 60

• b. 56

• c. 146

• d. 142

An arithmetic sequence is represented by the function f(n) = 4 +2(n – 1). Which term of the sequence is equal to 14?

• A.

  6th

• B.

  8th

• C.

  16th

• D.

  18th

• a. 6th

• b. 8th

• c. 16th

• d. 18th

The nth term of a sequence can be determined using the function f(n) = -2(n – 1) + 6.

 

 

What is the 3rd term of the sequence?

• -2

• 4

• 2

• 14

A sequence is shown below.

13, 6, -1, -8, -15, . . .

What is the explicit formula that represents the sequence?

• A.

  f(n) = 13 – 7(n – 1)

• B.

  f(n) = 13 + 7(n – 1)

• C.

  f(n) = 20 – 7(n – 1)

• D.

  f(n) = 20 + 7(n – 1)

• a

• b

• c

• d

What is the common difference of the sequence shown below?

 

−3, 2, 7, 12, 17, 22, ...

• A.

  +5

• B.

  +1

• C.

  −5

• D.

  −1

• a. 5

• b. 1

• c. -5

• d. -1

The nth term of a sequence can be determined using the function f(n) = –2n + 6. What are the first 3 terms in the sequence?

• A.

  –2, 4, 10

• B.

  4, 2, 0

• C.

  6, 4, 2

• D.

  10, 6, 4

• a

• b

• c

• d

The recursive formula for a sequence is shown.

a_n = a_n–1 + 5

a₁ = –11

 

What is the explicit formula that represents the sequence?

• A.

  f(n) = 5n – 11

• B.

  f(n) = 5n – 16

• C.

  f(n) = –11n + 5

• D.

  f(n) = –11n -16

• a

• b

• c

• d

Consider the sequence below.  What is the 200th term in the sequence?

 

7, 13, 19, 25, 31, 37, ...

• 100

• 502

• 1201

• 1503

A sequence is defined below.

 

A_n = A_n-1 − 7, A₁ = 2

 

What is the common difference of the sequence?

• A.

  +2

• B.

  -5

• C.

  −7

• D.

  +9

• a. 2

• b. -5

• c. -7

• d. 9