Quiz about Arithmetic Sequence Practice

Question 1

Find the recursive formula.

32, 27, 22, 17,...

Accepted Answer

f(1) = 32 ; f(n) = f(n-1) - 5

Answer

f(1) = 32 ; f(n) = f(n-1) - 7

Answer

f(1) = 32 ; f(n) = f(n-1) + 5

Answer

f(1) = 32 ; f(n) = f(n-1) +6

Question 2

Find the recursive formula.

40, 42, 44, 46,...

Accepted Answer

f(1) = 40 ; f(n) = f(n-1) + 2

Answer

f(1) = 40 ; f(n) = f(n-1) + 1

Answer

f(1) = 39 ; f(n) = f(n-1) + 1

Answer

f(1) = 39 ; f(n) = f(n-1) + 2

Question 3

Find the recursive formula.

25, 18, 11, 4,...

Accepted Answer

f(1) = 25 ; f(n) = f(n-1) - 7

Answer

f(1) = 25 ; f(n) = f(n-1) + 7

Answer

f(1) = 23 ; f(n) = f(n-1) - 5

Answer

f(1) = 18 ; f(n) = f(n-1) - 5

Question 4

FInd the explicit formula.

13, 11, 9, 7,...

Accepted Answer

f(n) = -2n +15

Answer

f(n) = n +12

Answer

f(n) = 3n +10

Answer

f(n) = -2n -13

Question 5

Find the explicit formula.

39, 29, 19, 9, .....

Accepted Answer

f(n) = -10n + 49

Answer

f(n) = -10n + 36

Answer

f(n) = -10n + 47

Answer

f(n) = -10n + 37

Question 6

Find the explicit formula.

-21, -31, -41, -51,....

Accepted Answer

f(n) = -10n - 11

Answer

f(n) = -10n - 31

Answer

f(n) = -10n - 21

Answer

f(n) = -10n - 19

Question 7

Find the explicit formula.

15, 21, 27, 33,...

Accepted Answer

f(n) = 6n + 9

Answer

f(n) = -8n + 23

Answer

f(n) = 8n + 7

Answer

f(n) = -8n + 15

Question 8

Find the 52nd term.

18, 22, 26, 30,...

Accepted Answer

f(52) = 222

Answer

f(52) = -86

Answer

f(52) = -84

Answer

f(52) = 186

Question 9

Find the recursive formula.

-31, -33, -35, -37,...

Accepted Answer

f(1) = -31 ; f(n) = f(n-1) -2

Answer

f(1) = -29 ; f(n) = f(n-1) -2

Answer

f(1) = -31 ; f(n) = f(n-1) +2

Answer

f(1) = -31 ; f(n) = f(n-1) +2

Question 10

Find the common difference.

25, 30, 35, 40, ....

Accepted Answer

5

Answer

-9

Answer

9

Answer

7

Question 11

Find the common difference.

33, -67, -167, -267, ....

Accepted Answer

-100

Answer

-97

Answer

-96

Answer

-99

Question 12

Find the 22nd term of the following sequence:
5, 8, 11, ...

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 13

Select the explicit rule that represents the sequence.

Accepted Answer

6 + 5(n - 1)

Answer

4 + 6(n - 1)

Answer

6 - 4(n - 1)

Question 14

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

Accepted Answer

Common difference

Answer

Common denominator

Answer

Common opposites

Answer

Common domain

Question 15

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

Accepted Answer

-515

Answer

-490

Answer

-535

Answer

460

Question 16

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

Accepted Answer

-146

Answer

-216

Answer

-148

Answer

-150

Question 17

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Accepted Answer

-146

Answer

81

Answer

-34

Answer

-225

Question 18

Find the 10th term.

Accepted Answer

21

Answer

16

Answer

12

Answer

30

Question 19

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

Accepted Answer

an=6n-4

Answer

an=2+6n

Answer

an=-6+6n

Answer

an=4-6n

Question 20

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)

Accepted Answer

a_n= -4n + 29

Answer

a_n = 4n + 29

Answer

a_n = -4n + 25

Answer

a_n = 4n + 25

Question 21

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

Accepted Answer

61, 70, 79

Answer

63, 72, 81

Answer

79, 88, 97

Answer

70, 79, 88

Question 22

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

Accepted Answer

-23, -28, -33

Answer

-20, -24, -28

Answer

-21, -25, -29

Answer

-24, -29, -32

Question 23

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Accepted Answer

3, 12, 21

Answer

-1, 7, 15

Answer

-5, 2, 9

Answer

-65, -73, -81

Question 24

Find the common difference: -18, -23, -28, -33, ...

Accepted Answer

d = -5

Answer

d = 5

Answer

d = -3

Answer

d = 3

Question 25

Find the first term of the given sequence:

a₁₄=68 and d=3

Accepted Answer

29

Answer

14

Answer

20

Answer

26

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