Free Printable Geometric Sequence, Series and Means #2

1.

What is the next term in the geometric sequence

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

a)

96

b)

144

c)

192

d)

240

2.

Is the sequence 148, 1488, 14888, 148888, ... a geometric sequence?

a)

Yes, it is a geometric sequence.

b)

No, it is not a geometric sequence.

3.

Find the common ratio of the geometric sequence
$2,\ \frac{1}{2},\ \frac{1}{8},\ \frac{1}{32},\ ...$

a)

$\frac{1}{3}$

b)

$\frac{1}{12}$

c)

$\frac{1}{16}$

d)

$\frac{1}{4}$

4.

Evaluate the sum of the geometric sequence 1 + 2 + 4 + 8..., n = 6

a)

63

b)

60

c)

46

d)

56

5.

Find the sum of the first four terms of the geometric sequence that begins with 1 with a common ratio of 3.

a)

25

b)

37

c)

40

d)

80

6.

What is the 5th term of the geometric sequence -2, -8, -32, -128, ...?

a)

-2048

b)

-512

c)

-256

d)

-384

7.

What is the common ratio of the geometric sequence -2, -8, -32, -128, ...?

a)

-4

b)

4

c)

-2

d)

2

8.

Solving for the nth term of geometric sequence, given thata₁ = 4 and r= 6, what is the value of the 4th term?

a)

144

b)

864

c)

124

d)

764

9.

Solving for the nth term of geometric sequence, given thata₁ = 1 and r= 2, what is the value of the 4th term?

a)

2

b)

8

c)

4

d)

16

10.

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

a)

-6

b)

6

c)

12

d)

-4

11.

Which of the following is a geometric sequence?

a)

2, 4, 5, . . .

b)

2, 6, 18, . . .

c)

2, 4, 6, . . .

d)

10, 20, 200, . . .

12.

What is the 5th term of the sequence 7, 14, 28, ...?

a)

72

b)

48

c)

56

d)

112

13.

What is the common ratio of this sequence ? 5, 25, 125, ...

a)

4

b)

2

c)

5

d)

6

14.

A colony of bacteria is growing in such a way that each generation is 2.5 times as large as the previous generation. Suppose there are 450 bacteria in the first generation. Find n-th generation

a)

$T_n=450\left(2.5\right)^n$

b)

$T_n=180\left(2.5\right)^n$

c)

$T_n=1125\left(2.5\right)^n$

15.

A gardener plans to construct a trapezoidal shaped structure in his garden. The longer side of trapezoid needs to start with a row of 100 bricks. Each row must be decreased by 3 bricks on each end and the construction should stop at n

row. Find n

a)

16

b)

17

c)

18

d)

19

16.

Insert two geometric means between 5 and 40

a)

10 and 15

b)

25 and 35

c)

15 and 25

d)

10 and 20

Geometric Sequence, Series and Means #2

Total questions: 16

Worksheet time: 18mins

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