Free Printable Arithmetic Sequence

1.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

2.

Find the common difference: 29, 21, 13, 5, ...

a)

d = -10

b)

d = -9

c)

d = -8

d)

d = -7

3.

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

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

4.

What is a₁ in the following sequence?

-6, -14, -22, -30, ...

a)

-6

b)

-14

c)

-22

d)

-30

5.

Which sequence is NOT an arithmetic sequence?

a)

12, 18, 24, 30,...

b)

10, 3, -4, -11,...

c)

2, 4, 8, 16,...

d)

16, 20, 24, 28,...

6.

Find the 20^th term of 2, 5, 8, 11 ....

a)

29

b)

39

c)

49

d)

59

7.

Find the 46^thterm of the arithmetic sequence 3, 8, 13, 18, 23, ...

a)

288

b)

228

c)

338

d)

388

8.

Given $a_1=-5$ and $a_n=a_{n-1}+3$ , what are the first 4 terms in the sequence?

a)

-5, -2, 1, 4

b)

-5, -8, -11, -14

c)

3, -2, -7, -12

d)

3, -15, 75, -375

9.

Write the EXPLICIT rule for the arithmetic sequence

-10, -3, 4, 11,...

*Hint: Plug into the sequence formula $\left(a_n=a_1+d\left(n-1\right)\right)$ and simplify it to function notation $f\left(n\right)=mn+b$ .

a)

a_n= 10n + 17

b)

a_n = 7n - 17

c)

a_n = -7n + 17

d)

a_n = 7n + 3

10.

Write the recursive rule for the arithmetic sequence

82, 76, 70, 64, ...

a)

a₁= 82; a_n = a_n-1- 6

b)

a₁= 64; a_n = a_n-1- 6

c)

a₁= 82; a_n = a_n-1+ 6

d)

a₁= 64; a_n = a_n-1+ 6

11.

Select the explicit rule that represents the sequence.

a)

a_n = 6 + 5(n - 1)

b)

a_n = 4 + 6(n - 1)

c)

a_n = 6 - 4(n - 1)

12.

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

a)

a₁ = 3 and d = -5

b)

a₁= -8 and d = 3

c)

a₁ = -5 and d = 3

d)

a₁ = -5 and d = -3

13.

TRUE or FALSE?

An arithmetic sequence is an example of a linear function.

a)

True, because having a common difference also means it has a constant rate of change

b)

False, because it's not shown on a graph

14.

What is a formula for the nth term in the sequence 12, 20, 28, ...?

a)

$a_n=20+8\left(n-1\right)$

b)

$a_n=-4+8\left(n+1\right)$

c)

$a_n=12+8\left(n+1\right)$

d)

$a_n=12\left(8\right)^n$

Arithmetic Sequence

Total questions: 14

Worksheet time: 30mins

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