Free Printable C3 : SEQUENCES (Geometric Sequences) L2

1.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

2.

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

3.

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

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

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

4.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

5.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

a)

20, 100, 500, 2500

b)

5, 20, 80, 320

c)

4, 20, 100, 500

d)

4, 9, 14, 19

6.

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

a)

a_n = (125)(1/5)^(n-1)

b)

a_n = 625(1/5)^(n-1)

c)

a_n = 625(5)^(n-1)

d)

a_n = 125 + 5n

7.

Find a₁₂ in the sequence -1, -3, -9, -27, ...

a)

-177,147

b)

-19,683

c)

-59,049

d)

118,098

8.

A geometric sequence has a common ration(r) of 3 and the 8th term (a₈) is 13,122. What is the first term of the sequence (a₁)?

a)

3

b)

6

c)

18

d)

2

9.

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

10.

Determine the common ratio for the following geometric sequence:

2, -12, 72, ...

a)

6

b)

-⅙

c)

-6

d)

⅙

11.

Given the rule: a_n = 7(½)^n-1

Identify the first term.

a)

a_n

b)

7

c)

½

d)

n

12.

Evaluate the geometric series described.
$3+15+75+375...,\ \ \ \ n=6$

a)

11,718

b)

10,603

c)

9,769

d)

$-\frac{3}{4}$

13.

$a_1=-2,\ \ \ r=-2,\ \ \ S_n=22$ Determine the number of terms n in the series

a)

6

b)

7

c)

8

d)

5

14.

$1,\ -2,\ 4,\ -8,\ ...\ \ Find\ a_{11}$

a)

$-512$

b)

$-1024$

c)

$1024$

d)

$512$

15.

$2,\ 10,\ 50,\ 250,\ ...$ Find the explicit formula

a)

$a_n=10\cdot4^{\left(n-1\right)}$

b)

$a_n=2\cdot5^{\left(n-1\right)}$

c)

$a_n=10\cdot5^{\left(n-1\right)}$

d)

$a_n=5\cdot2^{\left(n-1\right)}$

16.

Evaluate the geometric series $1-2+4-8,\ ...,\ \ \ \ \ \ \ n=8$

a)

$\frac{1}{3}$

b)

-86

c)

-87

d)

-85

17.

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

a)

59,050

b)

-59,048

c)

-78,732

d)

118,096

18.

Evaluate (that is, find the sum) the geometric series below:

4, - 8 , 16 - 32..., n = 7

a)

195

b)

172

c)

516

d)

145

19.

Which sequence is represented by the equation 2(7)^n-1 ?

a)

7, 14, 28, 56...

b)

2, 14, 98, 686...

c)

2, 9, 16, 23...

d)

7,9,11,13...

20.

What is the next term in the geometric sequence

0.75, 3, 12, 48, ... ?

a)

96

b)

144

c)

192

d)

240

C3 : SEQUENCES (Geometric Sequences) L2

Total questions: 20

Worksheet time: 2hrs 45mins

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