Free Printable Chapter 10 Review (Sequences/Series)

1.

This symbol is:

a)

a funky looking "E"

b)

theta

c)

pi

d)

sigma

2.

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

a)

Arithmetic

b)

Geometric

c)

Neither

3.

What is the common ratio for the sequence:
28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

4.

Find the 22nd term of the following sequence:

5, 8, 11, 14, ...

a)

14

b)

68

c)

63

d)

71

5.

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

a)

18

b)

17

c)

15

d)

14

6.

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

a)

19,683

b)

6,561

c)

2,187

d)

729

7.

Identify the common difference.

97, 86, 75, 64, ...

a)

9

b)

11

c)

-11

d)

-9

8.

Given the sequence: $a_n=2,\ 6,\ 10,\ 14,\ 18,\ 22,\ 26,\ 30,\ 34,\ ...$ What does the expression above mean?

a)

3+4+5+6

b)

2+6+10+14+18+22

c)

10+14+18+22+26+30

d)

10+14+18+22

9.

How many terms are there in the series $\sum_{k=3}^{13}3k+1$

a)

13

b)

11

c)

10

d)

cannot be determined

10.

What are the terms for this series $\sum_{k=3}^6\left(2k-1\right)$

a)

5, 7, 9, 11

b)

1+3+5+7

c)

5+7+9+11

d)

5+7+9+11+13+15+17

11.

Evaluate the series.

a)

36

b)

85

c)

35

d)

86

12.

What is the fourth term of the sequence defined by

a₁ = 3,

a_n = a_n-1 – 7

a)

–1

b)

–6

c)

–18

d)

–10

13.

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1- 1

a)

14

b)

13

c)

17

d)

16

14.

Find the first four terms of the sequence.

a_n= 2a_(n-1)+ n where a₁= 5

a)

5, 15, 45, 135

b)

5, 12, 27, 58

c)

5, 9, 13, 21

d)

none of these

15.

Identify the common ratio for the given geometric sequence.

48, 12, 3, 0.75, ...

a)

r = 4

b)

r = -36

c)

r = $\frac{1}{4}$

d)

r = 3

16.

Determine the sum of the series written in Sigma Notation.

a)

45

b)

49

c)

90

d)

47

17.

$\ \ Evaluate\ the\ \exp ression:\ \ \ \ \sum_{k=1}^4k^3\$

a)

30

b)

100

c)

110

d)

cannot be determined

18.

Rewrite the series in expanded form: $\sum_{n=1}^82^{n\ }=\ ?$

a)

$2+4+8+16+32+64+128+256$

b)

$2+4+6+8+10+12+14+16$

c)

$2+256$

d)

510

19.

Given the sequence: $a_n=2,\ 6,\ 10,\ 14,\ 18,\ 22,\ 26,\ 30,\ 34,\ ...$ Find $s_5$

a)

18

b)

32

c)

50

d)

cannot be determined

20.

Given the sequence: $a_n=3\left(n+2\right)$ Find $s_3$

a)

9

b)

15

c)

24

d)

36

Chapter 10 Review (Sequences/Series)

Total questions: 20

Worksheet time: 21mins

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