# Series and Sequences MCQs with Answers

Series and Sequences MCQs are very important test and often asked by various testing services and competitive exams around the world. Here you will find all the Important Series and Sequences MCQs for Preparation.

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## Series and Sequences Online MCQs with Answers

What is the next term in the arithmetic sequence: 2, 5, 8, 11, …?
a) 13
b) 14
c) 15
d) 16

a) 13

Find the sum of the geometric series: 3, 6, 12, 24, …
a) 84
b) 96
c) 108
d) 120

b) 96

What is the common difference of the arithmetic sequence: 7, 12, 17, 22, …?
a) 3
b) 4
c) 5
d) 6

c) 5

Find the next term in the geometric sequence: 4, 12, 36, 108, …
a) 256
b) 324
c) 312
d) 432

b) 324

Determine the sum of the arithmetic series: 1 + 4 + 7 + 10 + … + 28.
a) 231
b) 238
c) 245
d) 252

b) 238

What is the common ratio of the geometric sequence: 2, 6, 18, 54, …?
a) 3
b) 4
c) 5
d) 6

a) 3

Find the next term in the arithmetic sequence: 25, 20, 15, 10, …?
a) 5
b) 4
c) 3
d) 2

a) 5

Calculate the sum of the infinite geometric series: 2 + 1 + 0.5 + 0.25 + …
a) 4
b) 3
c) 2
d) 1

b) 3

What is the next term in the geometric sequence: 5, 2.5, 1.25, 0.625, …?
a) 0.3125
b) 0.325
c) 0.31875
d) 0.33125

c) 0.31875

Find the sum of the arithmetic series: 8 + 15 + 22 + 29 + … + 65.
a) 286
b) 300
c) 314
d) 328

d) 328

What is the common difference of the arithmetic sequence: 3, 7, 11, 15, …?
a) 3
b) 4
c) 5
d) 6

b) 4

Find the next term in the geometric sequence: 6, 3, 3/2, 3/4, …?
a) 1/8
b) 3/8
c) 1/6
d) 1/12

a) 1/8

Determine the sum of the geometric series: 2 + 6 + 18 + 54 + … + 4374.
a) 6560
b) 6561
c) 6562
d) 6563

b) 6561

What is the next term in the arithmetic sequence: 17, 14, 11, 8, …?
a) 5
b) 4
c) 3
d) 2

a) 5

Find the sum of the infinite geometric series: 3 + 2 + 4/3 + 8/9 + …
a) 4
b) 3
c) 2
d) 1

c) 2

What is the common ratio of the geometric sequence: 8, 4, 2, 1, …?
a) 1/8
b) 1/4
c) 1/2
d) 1

c) 1/2

Find the next term in the arithmetic sequence: 30, 27, 24, 21, …?
a) 18
b) 17
c) 16
d) 15

a) 18

Calculate the sum of the infinite geometric series: 5 + 2.5 + 1.25 + 0.625 + …
a) 6
b) 5
c) 4
d) 3

b) 5

What is the next term in the geometric sequence: 9, 6, 4, 8/3, …?
a) 16/9
b) 6/9
c) 8/9
d) 18/9

a) 16/9

Find the sum of the arithmetic series: 12 + 19 + 26 + 33 + … + 91.
a) 513
b) 520
c) 527
d) 534

b) 520

What is the common difference of the arithmetic sequence: 10, 16, 22, 28, …?
a) 4
b) 5
c) 6
d) 7

c) 6

Find the next term in the geometric sequence: 2, -4, 8, -16, …?
a) 32
b) -32
c) 16
d) -8

a) 32

Determine the sum of the geometric series: 5/3 + 5/9 + 5/27 + … + 5/243.
a) 1
b) 5/2
c) 2
d) 3

b) 5/2

What is the next term in the arithmetic sequence: 12, 9, 6, 3, …?
a) 0
b) -1
c) -2
d) -3

d) -3

Find the sum of the infinite geometric series: 4/7 + 8/49 + 16/343 + …
a) 4/3
b) 8/3
c) 16/3
d) 32/3

c) 16/3

What is the common ratio of the geometric sequence: 3, -6, 12, -24, …?
a) 2
b) -2
c) -3
d) 3

b) -2

Find the next term in the arithmetic sequence: -7, -10, -13, -16, …?
a) -19
b) -20
c) -21
d) -22

a) -19

Calculate the sum of the infinite geometric series: 1 + 2 + 4 + 8 + …
a) 2
b) 3
c) 4
d) Infinity

d) Infinity

What is the next term in the geometric sequence: 7, -14, 28, -56, …?
a) -112
b) 112
c) -84
d) 84

b) 112

Find the sum of the arithmetic series: -5 + 1 + 7 + 13 + … + 49.
a) 261
b) 268
c) 275
d) 282

c) 275

What is the common difference of the arithmetic sequence: -2, -6, -10, -14, …?
a) -2
b) -4
c) -6
d) -8

b) -4

Find the next term in the geometric sequence: 81, -27, 9, -3, …?
a) 1
b) -1
c) 0.1
d) -0.1

c) 0.1

Determine the sum of the geometric series: 5/2 + 5/4 + 5/8 + … + 5/128.
a) 5/256
b) 5/192
c) 5/256
d) 5/192

b) 5/192

What is the next term in the arithmetic sequence: 1, -3, 7, -15, …?
a) 31
b) -31
c) -17
d) 17

a) 31

Find the sum of the infinite geometric series: 1/4 + 1/8 + 1/16 + …
a) 1/2
b) 1/4
c) 1/8
d) 1/16

a) 1/2

What is the common ratio of the geometric sequence: -5, 10, -20, 40, …?
a) -2
b) 2
c) -4
d) 4

b) 2

Find the next term in the arithmetic sequence: 100, 90, 80, 70, …?
a) 60
b) 50
c) 40
d) 30

c) 40

Calculate the sum of the infinite geometric series: 3/5 + 6/25 + 12/125 + …
a) 3/2
b) 6/5
c) 6/25
d) 12/5

a) 3/2

What is the next term in the geometric sequence: -10, 20, -40, 80, …?
a) -160
b) 160
c) -120
d) 120

c) -120

Find the sum of the arithmetic series: -3 + 3 + 9 + 15 + … + 99.
a) 972
b) 1002
c) 1032
d) 1062

c) 1032

What is the common difference of the arithmetic sequence: 2, -1, -4, -7, …?
a) 3
b) -3
c) 2
d) -2

a) 3

Find the next term in the geometric sequence: 6, 18, 54, 162, …?
a) 486
b) 324
c) 972
d) 810

a) 486

Determine the sum of the geometric series: 7/2 + 7/4 + 7/8 + … + 7/128.
a) 7/256
b) 7/192
c) 7/512
d) 7/384

b) 7/192

What is the next term in the arithmetic sequence: -5, -3, -1, 1, …?
a) 3
b) 4
c) 5
d) 6

a) 3

Find the sum of the infinite geometric series: 2/3 + 4/9 + 8/27 + …
a) 1
b) 2/3
c) 3/2
d) 3

c) 3/2

What is the common ratio of the geometric sequence: 1, -2, 4, -8, …?
a) -2
b) 2
c) -4
d) 4

a) -2

Find the next term in the arithmetic sequence: 21, 15, 9, 3, …?
a) -3
b) -6
c) -9
d) -12

a) -3

Calculate the sum of the infinite geometric series: 6 + 3 + 3/2 + 3/4 + …
a) 6
b) 9
c) 12
d) Infinity

b) 9

What is the next term in the geometric sequence: -2, 1, -1/2, 1/4, …?
a) -1/8
b) 1/8
c) -1/16
d) 1/16