Quiz about Arithmetic Sequences

Question 1

Is this an Arithmetic sequence? 5, 4.25, 3.5, 2.75

Accepted Answer

Yes

Answer

No

Question 2

The next two terms of the sequence 4,7,10,13 are

Accepted Answer

16 and 19

Answer

15 and 19

Answer

16 and 18

Answer

15 and 18

Question 3

The next two terms of the sequence 4,7,10,13 are ....

Accepted Answer

16 and 19

Answer

15 and 19

Answer

16 and 18

Answer

15 and 18

Question 4

Identify the common difference.
10, 20, 30, 40, ...

Accepted Answer

10

Answer

5

Answer

15

Answer

20

Question 5

Identify the common difference.
3, 7, 11, 15, ...

Accepted Answer

4

Answer

6

Answer

5

Answer

2

Question 6

Identify the common difference.
97, 86, 75, 64, ...

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 7

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

Accepted Answer

-146

Answer

81

Answer

-34

Answer

-225

Question 8

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

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 9

Is the sequence arithmetic: 17, 9, 1, -7, ...

Accepted Answer

Yes

Answer

No

Question 10

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 11

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

Accepted Answer

a₁ = -5 and d = 3

Answer

a₁ = 3 and d = -5

Answer

a₁= -8 and d = 3

Answer

a₁ = -5 and d = -3

Question 12

Find the given term for the sequence.
Find the 30th term of 20, 11, 2, -7, -16, ...

Accepted Answer

-241

Answer

29

Answer

-261

Answer

cannot be determined

Question 13

Each individual number in a sequence of numbers is called what?
Hint: Look in your notes.

Accepted Answer

Term

Answer

Common difference

Answer

Successive term

Answer

Geometric term

Question 14

What are the next 3 terms in this sequence of terms? 3, 7, 11, 15
Hint: Find the common difference and use this to help you figure out the rule for this arithmetic sequence.

Accepted Answer

19, 23, 27

Answer

18, 22, 26

Answer

19, 21, 23

Answer

18, 21, 24

Question 15

The next two terms of the sequence 12, 17, 22, 27 are ....
Hint: Find the common difference to help you figure out the rule.

Accepted Answer

32 and 37

Answer

28 and 33

Answer

29 and 34

Answer

30 and 35

Question 16

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 17

Find the first term of the given sequence:
a₁₄=68
d=3

Accepted Answer

29

Answer

14

Answer

20

Answer

26

Question 18

Identify the common difference.
97, 86, 75, 64, ...

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 19

Identify the common difference.
3, 7, 11, 15, ...

Accepted Answer

4

Answer

6

Answer

5

Answer

2

Question 20

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

Accepted Answer

127

Answer

32

Answer

64

Answer

356

Question 21

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 22

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 23

Find the first term of the given sequence:
a₁₄=68
d=3

Accepted Answer

29

Answer

14

Answer

20

Answer

26

Question 24

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

Accepted Answer

-515

Answer

-490

Answer

-535

Answer

460

Question 25

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

Accepted Answer

-146

Answer

-216

Answer

-148

Answer

-150

Question 26

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

Accepted Answer

138

Answer

145

Answer

144

Answer

142

Question 27

Given an arithmetic sequence where a₃₂ = 109 and a₄₆ = 193, find a₃₁₁.

Accepted Answer

1783

Answer

295

Answer

-77

Answer

1860

Question 28

What is the next term in the sequence?
14, 34, 54, 74, 94, ...

Hint: Find the common difference to help you figure out the rule.

Accepted Answer

114

Answer

100

Answer

104

Answer

124

Question 29

Which formula can be used to find any term in an arithmetic sequence?

Accepted Answer

a_n= a₁ + (n-1)d

Answer

a_n= a₁*r^(n-1)

Answer

a_n= dn +a₁

Answer

a_n = n+(d-1)a₁

Question 30

What is the rule for the nth term given
a₁ = 12 & d=4

Accepted Answer

a_n= 4n + 8

Answer

a_n= 4n + 12

Answer

a_n= -4n + 8

Answer

a_n= 12n + 4

Question 31

What is the rule (explicit equation) for the n^th term given
60, 55, 50, 45, ...

Accepted Answer

a_n= -5n+65

Answer

a_n= -5+60n

Answer

a_n= -5n+60

Answer

an= 5n+55

Question 32

Given the explicit formula, find the first five terms.
a_n = 25 - 15n

Accepted Answer

10, -5, -20, -35, -50

Answer

10, 5, 0, -5, -10

Answer

40, 55, 70, 85, 100

Answer

10, 5, 20, 35 50

Question 33

If a₄=20 and d=3. What is the value of a₁ ?

Accepted Answer

a1 = 11

Answer

a1 = 60

Answer

a1 = 23

Answer

a1 = 14

Question 34

If you are given the following:
a₂₀₀ = 1000 and d=20 then what is
the value a₁ ?

Accepted Answer

a₁ = -2980

Answer

a₁ = -3000

Answer

a₁ = -3020

Answer

a₁ = 1020

Question 35

If you are given the following:
a₂₁₃ = 1,125 and d=25 then what is
the current value of n?

Accepted Answer

n= 213

Answer

not enough information

Answer

n= 1,125

Answer

n= 25

Arithmetic Sequences

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