Free Printable Algebra 2: sequences quiz

Worksheets

Algebra 2: sequences quiz

Total questions: 16

Worksheet time: 48mins

Name

Class

Date

Find the first 5 terms of the sequence: $a_n\ =\ 5n\ -\ 3$

-3, 2, 7, 12, 17

2, 7, 12, 17, 22

5, 2, -1, -4, -7

2, 7, 32, 157, 782

Write the first 5 terms of the sequence: $a_n\ =\ n^2\ -\ 2n$

3, 8, 15, 24, 35

-2, -3, -5, -10, -17

-1, -2, -3, -4, -5

-1, 0, 3, 8, 15

Find the next four terms of the arithmetic sequence 16, 24, 32,...

40, 48, 56, 64

36, 40, 44, 48

35, 40, 45, 50

40, 44, 50, 56

5, 15, 45, 135 is a ...

Geometric sequence with r = 3

Geometric sequence with r = 1/3

Arithmetic sequence with d = 10

Arithmetic sequence with d = 3

Write a formula for the following sequence:

5, 8, 11, 14, 17...

a_n = 3(n-1) + 2

a_n = 5 + (n-1)(3)

a_n = 5 + (3)^n-1

a_n = 5 + 3n

Given a₁= 5 and d= 2 find a₆

What does a₁ represent?

Any term

First term

Last term

Find the first four terms of the sequence given the rule:

g_n = 4(5)^n-1

20, 100, 500, 2500

5, 20, 80, 320

4, 20, 100, 500

4, 9, 14, 19

Write the explicit rule for the arithmetic sequence

12, 10, 8, 6, ...

a_n = 12+ (n -1)(-2)

a_n= 2 + (n -1)(14)

a_n= 12 + (n-1)(2)

a_n= -12n + 14

10.

Determine the first five terms of the sequence using the rule:
a₁ = 8; a_n = a_n-1 - 3

8, 11, 14, 17, 20

8, 5, 2, -1, -4

8, 24, 72, 216, 648

8, -24, 72, -216, 648

11.

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

12.

What does r represent?

Radical

Common difference

Common ratio

13.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

1024, 2048, 4096

32, 8, 2

64, 32, 16

92, 66, 38

14.

Find the common ratio: 64, -16, 4, -1, ...

r = -8

r = -1/4

r = -4

r = 4

15.

Determine whether the sequence is arithmetic, geometric, or neither.

arithmetic

geometric

neither

16.