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Worksheets

Summative Test for Sequences

Total questions: 15

Worksheet time: 17mins

Name
Class
Date
1.

Which of the following is NOT an arithmetic sequence?

a)

11, 2, -8, -19, . . .

b)

4, 7, 10, 13, . . .

c)

57, 51, 45, 39, . . .

d)

-3, -5, -7, -9, . . .

2.

Find the next two terms of the sequence 8, 2, - 4, . . .

a)

-8, -12

b)

10, 16

c)

-10, -16

d)

-6, -8

3.

Which arithmetic sequence has d= - 8 and a10 = - 45?

a)

27, 19, 11, 3, . . .

b)

-8, -12, -16, -20, . . .

c)

-5, - 13, - 21, -29, . . .

d)

-27, - 18, -11, -3, . . .

4.

If three arithmetic mean are inserted between 11 and 39, find the second arithmetic mean.

a)

18

b)

25

c)

32

d)

46

5.

A culture of bacteria doubles every 2 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

6.

What is k so that k - 3, k + 2, k + 3 form a geometric sequence?

a)

-⅕

b)

c)

-13/4

d)

13/4

7.

Find the sum to infinity of 1, 0.2, 0.04, 0.008, . . .

a)

0.2

b)

1.666...

c)

1.25

d)

1.5

8.

What is the tenth term of a geometric sequence with 32 as the fourth term and 2 as the common ratio?

a)

2 048

b)

2 058

c)

1 024

d)

1 034

9.

What is the sum of all the even integers between 9 and 27?

a)

144

b)

162

c)

170

d)

180

10.

Ramilo is the track and field representative of the Maginoo High School for the Palarong Pambansa. He begins training by running 5 miles during the first week, 6.5 miles during the second week, and 8 miles on the third week. Assume this pattern continues, how far will he run on the tenth

week?

a)

18.5 miles

b)

20 miles

c)

21.5 miles

d)

23 miles

11.

Find p so that p+7, 3p+9, p+3, . . . form an arithmetic sequence.

a)

-2

b)

2

c)

-3

d)

3

12.

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

13.

What is the tenth term of a geometric sequence with 32 as the fourth term and 2 as the common ratio?

a)

2 048

b)

2 058

c)

1 024

d)

1 034

14.

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

a)

224

b)

240

c)

288

d)

340

15.

The first term of an arithmetic sequence is 28 while the 12th term is 105. What is the common difference of the sequence?

a)

7

b)

6

c)

5

d)

3