# Arithmetic Sequences Quiz Review

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Coordinate Algebra

Name___________________________________

Arithmetic Sequences Quiz Review

Date________________ Period____

Determine if the sequence is arithmetic. If it is, find the common difference.

1) −23, −20, −17, −14, ...

2) −24, 6, 36, 66, ...

3) −30, −28, −26, −24, ...

4) 21, 1, −19, −39, ...

5) −5, 15, 35, 55, ...

6) −15, −23, −31, −39, ...

Find the recursive formula. 7) −6, −15, −24, −33, ...

8) 5, −2, −9, −16, ...

9) −20, −12, −4, 4, ...

10) 38, 41, 44, 47, ...

11) −5, 2, 9, 16, ...

12) 20, 10, 0, −10, ...

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Worksheet by Kuta Software LLC

Find the term named in the problem and the explicit formula.

13) 1, −5, −11, −17, ... Find a38

14) 9, 19, 29, 39, ... Find a37

15) −36, −16, 4, 24, ... Find a37

16) 23, 15, 7, −1, ... Find a32

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Worksheet by Kuta Software LLC

17) 11, 14, 17, 20, ... Find a27

18) −4, 2, 8, 14, ... Find a28

Given a term in an arithmetic sequence and the common difference find the explicit formula.

19) a20 = −68, d = −4

20) a29 = 24, d = 2

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Worksheet by Kuta Software LLC

Coordinate Algebra

Name___________________________________

Arithmetic Sequences Quiz Review

Date________________ Period____

Determine if the sequence is arithmetic. If it is, find the common difference.

1) −23, −20, −17, −14, ...

2) −24, 6, 36, 66, ...

d =3

d = 30

3) −30, −28, −26, −24, ... d =2

4) 21, 1, −19, −39, ... d = −20

5) −5, 15, 35, 55, ... d = 20

6) −15, −23, −31, −39, ... d = −8

Find the recursive formula.

7) −6, −15, −24, −33, ...

a =a −9

n

n − 1

a = −6 1

8) 5, −2, −9, −16, ...

a =a −7

n

n − 1

a =5 1

9) −20, −12, −4, 4, ...

a =a +8

n

n − 1

a = −20 1

10) 38, 41, 44, 47, ...

a =a +3

n

n − 1

a = 38 1

11) −5, 2, 9, 16, ...

a =a +7

n

n − 1

a = −5 1

12) 20, 10, 0, −10, ...

a = a − 10

n

n − 1

a = 20 1

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Worksheet by Kuta Software LLC

Find the term named in the problem and the explicit formula.

13) 1, −5, −11, −17, ... Find a38

14) 9, 19, 29, 39, ... Find a37

a = −221 38
Explicit: a = 7 − 6n n

a = 369 37
Explicit: a = −1 + 10n n

15) −36, −16, 4, 24, ... Find a37
a = 684 37
Explicit: a = −56 + 20n n

16) 23, 15, 7, −1, ... Find a32
a = −225 32
Explicit: a = 31 − 8n n

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Worksheet by Kuta Software LLC

17) 11, 14, 17, 20, ... Find a27
a = 89 27
Explicit: a = 8 + 3n n

18) −4, 2, 8, 14, ... Find a28
a = 158 28
Explicit: a = −10 + 6n n

Given a term in an arithmetic sequence and the common difference find the explicit formula.

19) a20 = −68, d = −4

20) a29 = 24, d = 2

a = 12 − 4n n

a = −34 + 2n n

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Worksheet by Kuta Software LLC