Free Printable Exercise : TOPIC 3 (Sequences)

1.

Given a sequence: $2,\ 8,\ 14,\ ...$ where $n=1,\ 2,\ 3,...$
Find the $n^{th}$ term of the sequence.

a)

$2n$

b)

$3n+2$

c)

$6n-4$

d)

$2n+6$

2.

Given a sequence: $4,\ 16,\ 64,\ ...$ .
Find the $n^{th}$ term and hence, find the $10^{th}$ term.

a)

$T_n=4^n\ \ ;\ \ T_{10}=1\ 048\ 576$

b)

$T_n=4n\ \ ;\ \ T_{10}=40$

c)

$T_n=4^n\ \ ;\ \ T_{10}=40$

d)

$T_n=4n\ \ ;\ \ T_{10}=1\ 048\ 576$

3.

Given a sequence: $2,\ 4,\ 8,\ 16...$
Find the $10^{th}$ term of the sequence.

a)

1204

b)

1024

c)

1240

d)

1042

4.

Given a sequence:
$4,\ 12,\ 36,\ 108,\ ...$
Find the $n^{th}$ term.

a)

$T_n=4\left(3\right)^{n-1}$

b)

$T_n=4\left(3^n\right)$

c)

$T_n=4+3n$

d)

$T_n=4\left(3n\right)$

5.

The second term and the fifth term of a geometric sequence are 5 and $\frac{5}{64}$ respectively.
Find the first term and the common ratio.

a)

$a=20\ ;\ r=\frac{1}{4}$

b)

$a=20\ ;\ r=\frac{1}{2}$

c)

$a=20\ ;\ r=4$

d)

$a=\frac{1}{20}\ ;\ r=\frac{1}{4}$

6.

What is the next term for the sequence:

2.94, 1.94, 0.94, -0.06, -1.06,...

a)

-0.94

b)

0.06

c)

-2.06

d)

2.06

e)

-3.06

7.

256, 128, 64, 32, ...

What's next?

a)

24

b)

18

c)

16

d)

8

8.

Is the sequence geometric? If so, identify the common ratio.

6, 12, 24, 48

a)

yes, 2

b)

yes, -2

c)

yes, 4

d)

no

9.

What are the next four terms of the arithmetic sequence 122, 111, 100, ...?

a)

89, 78, 67, 56

b)

95, 90, 85, 80

c)

92, 88, 84, 80

d)

99, 88, 77, 66

10.

The nth term of a sequence is: 2n + 4.

What is the 8th term of the sequence?

a)

12

b)

14

c)

20

d)

22

11.

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

a)

arithmetic

b)

geometric

c)

neither

12.

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

a)

4

b)

3

c)

2

d)

6

13.

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

a)

384

b)

768

c)

1,536

d)

27

Exercise : TOPIC 3 (Sequences)

Total questions: 13

Worksheet time: 31mins

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