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Worksheets

Sequences

Total questions: 20

Worksheet time: 27mins

Name
Class
Date
1.

Which of the following does NOT describe a pattern?

a)

Algebra, Geometry, Trigonometry, Calculus

b)

Triangle, Quadrilateral, Pentagon, Hexagon

c)

Arithmetic, Geometric, Harmonic, Fibonacci

d)

Electron, Neutron, Proton, Polygon

2.

What are the first five terms of the sequence defined by f(x) = 3x + 2 ?

a)

5, 8, 11, 14, 17

b)

5, 7, 8, 10, 12

c)

-4, -7, -10, -13, -16

d)

12, 15, 18, 21, 21

3.

What is the 10th term of the sequence?

a)

19 / 21

b)

80 / 82

c)

99 / 101

d)

100 / 102

4.

Which is the general term of the sequence 4, 8, 12, 16, ...?

a)

an = 2n + 2

b)

an = 4n

c)

an = 2n

d)

an = 1 / 4n - 2

5.

Which of the following illustrates an arithmetic sequence?

a)

2, 4, 6, 8

b)

2, 4, 8, 16

c)

2, 1, 1/2, 1/4

d)

1, 1, 2, 3, 5

6.

What is the next term of an arithmetic sequence 5, 2, -1, ...?

a)

-7

b)

-6

c)

-4

d)

-3

7.

What is the common difference in the arithmetic sequence 1, 6/4, 2, 10/4, 3, ...?

a)

1/4

b)

3/4

c)

1/2

d)

3/2

8.

Which is the general term for the arithmetic sequence 1, 6/4, 2, 10/4, 3, ...?

a)

an = 1/2(n+2)

b)

an = 1/2(n-1)

c)

an = 1/2(n+1)

d)

an = 1/2(n-2)

9.

If three arithmetic means are inserted between -15 and 9, what is the first arithmetic mean?

a)

3

b)

-3

c)

-6

d)

-9

10.

A small theater has 12 seats in the first row, 15 seats in the second row, 18 seats in the third row, and so on. How many seats are there if there are 10 rows in all?

a)

144

b)

255

c)

366

d)

488

11.

What is the sum of all the multiples of 4 between 15 and 49?

a)

224

b)

240

c)

288

d)

340

12.

Which of the following illustrates a geometric sequence?

a)

2, 4, 6, 8

b)

2, 4, 8, 16

c)

2, 1, 1/2, 1/3, 1/4

d)

1, 1, 2, 3, 5

13.

Which of the following is NOT an example of a geometric sequence?

a)

2, 4, 8, 16

b)

3, 12, 48, 192

c)

1, 1, 1, 1,

d)

-12, -10, -8, -6

14.

What is the next term in the geometric sequence 324, -108, 36?

a)

4

b)

-4

c)

-12

d)

12

15.

What is the 7th term of the geometric sequence 10, 2, 2/5, 2/25, ...?

a)

2 / 125

b)

2 / 625

c)

2 / 3125

d)

2 / 15 625

16.

What is the general / nth term of the sequence10, 2, 2/5, 2/25, ...?

a)

an = a1rn-1

b)

an = 50(1/5)n

c)

an = 50(5)n

d)

an = 1/50(1/5)n

17.

If three geometric means are inserted between 120 and 15/2, what is the third geometric mean?

a)

60

b)

30

c)

15

d)

1

18.

What is the sum of the first six terms of the geometric sequence with the first term 40 and the common ratio equal to 1/2?

a)

315 / 4

b)

315 / 2

c)

315 / 8

d)

315

19.

What is the next term in the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89?

a)

123

b)

124

c)

134

d)

144

20.

A culture of bacteria doubles every two hours. If there are 500 bacteria at the beginning, how many bacteria will there be after 24 hours?

a)

1, 024, 000

b)

2, 048, 000

c)

8, 388, 000

d)

4, 194, 000