**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.

The student can clear their concepts for **Series and Sequences**** **online quiz by attempting it. Doing MCQs based **Series**** and Sequences**** **will help you to check your understanding and identify areas of improvement.

**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

Find the sum of the geometric series: 3, 6, 12, 24, …

a) 84

b) 96

c) 108

d) 120

What is the common difference of the arithmetic sequence: 7, 12, 17, 22, …?

a) 3

b) 4

c) 5

d) 6

Find the next term in the geometric sequence: 4, 12, 36, 108, …

a) 256

b) 324

c) 312

d) 432

Determine the sum of the arithmetic series: 1 + 4 + 7 + 10 + … + 28.

a) 231

b) 238

c) 245

d) 252

What is the common ratio of the geometric sequence: 2, 6, 18, 54, …?

a) 3

b) 4

c) 5

d) 6

Find the next term in the arithmetic sequence: 25, 20, 15, 10, …?

a) 5

b) 4

c) 3

d) 2

Calculate the sum of the infinite geometric series: 2 + 1 + 0.5 + 0.25 + …

a) 4

b) 3

c) 2

d) 1

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

Find the sum of the arithmetic series: 8 + 15 + 22 + 29 + … + 65.

a) 286

b) 300

c) 314

d) 328

What is the common difference of the arithmetic sequence: 3, 7, 11, 15, …?

a) 3

b) 4

c) 5

d) 6

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

Determine the sum of the geometric series: 2 + 6 + 18 + 54 + … + 4374.

a) 6560

b) 6561

c) 6562

d) 6563

What is the next term in the arithmetic sequence: 17, 14, 11, 8, …?

a) 5

b) 4

c) 3

d) 2

Find the sum of the infinite geometric series: 3 + 2 + 4/3 + 8/9 + …

a) 4

b) 3

c) 2

d) 1

What is the common ratio of the geometric sequence: 8, 4, 2, 1, …?

a) 1/8

b) 1/4

c) 1/2

d) 1

Find the next term in the arithmetic sequence: 30, 27, 24, 21, …?

a) 18

b) 17

c) 16

d) 15

Calculate the sum of the infinite geometric series: 5 + 2.5 + 1.25 + 0.625 + …

a) 6

b) 5

c) 4

d) 3

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

Find the sum of the arithmetic series: 12 + 19 + 26 + 33 + … + 91.

a) 513

b) 520

c) 527

d) 534

What is the common difference of the arithmetic sequence: 10, 16, 22, 28, …?

a) 4

b) 5

c) 6

d) 7

Find the next term in the geometric sequence: 2, -4, 8, -16, …?

a) 32

b) -32

c) 16

d) -8

Determine the sum of the geometric series: 5/3 + 5/9 + 5/27 + … + 5/243.

a) 1

b) 5/2

c) 2

d) 3

What is the next term in the arithmetic sequence: 12, 9, 6, 3, …?

a) 0

b) -1

c) -2

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

What is the common ratio of the geometric sequence: 3, -6, 12, -24, …?

a) 2

b) -2

c) -3

d) 3

Find the next term in the arithmetic sequence: -7, -10, -13, -16, …?

a) -19

b) -20

c) -21

d) -22

Calculate the sum of the infinite geometric series: 1 + 2 + 4 + 8 + …

a) 2

b) 3

c) 4

d) Infinity

What is the next term in the geometric sequence: 7, -14, 28, -56, …?

a) -112

b) 112

c) -84

d) 84

Find the sum of the arithmetic series: -5 + 1 + 7 + 13 + … + 49.

a) 261

b) 268

c) 275

d) 282

What is the common difference of the arithmetic sequence: -2, -6, -10, -14, …?

a) -2

b) -4

c) -6

d) -8

Find the next term in the geometric sequence: 81, -27, 9, -3, …?

a) 1

b) -1

c) 0.1

d) -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

What is the next term in the arithmetic sequence: 1, -3, 7, -15, …?

a) 31

b) -31

c) -17

d) 17

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

What is the common ratio of the geometric sequence: -5, 10, -20, 40, …?

a) -2

b) 2

c) -4

d) 4

Find the next term in the arithmetic sequence: 100, 90, 80, 70, …?

a) 60

b) 50

c) 40

d) 30

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

What is the next term in the geometric sequence: -10, 20, -40, 80, …?

a) -160

b) 160

c) -120

d) 120

Find the sum of the arithmetic series: -3 + 3 + 9 + 15 + … + 99.

a) 972

b) 1002

c) 1032

d) 1062

What is the common difference of the arithmetic sequence: 2, -1, -4, -7, …?

a) 3

b) -3

c) 2

d) -2

Find the next term in the geometric sequence: 6, 18, 54, 162, …?

a) 486

b) 324

c) 972

d) 810

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

What is the next term in the arithmetic sequence: -5, -3, -1, 1, …?

a) 3

b) 4

c) 5

d) 6

Find the sum of the infinite geometric series: 2/3 + 4/9 + 8/27 + …

a) 1

b) 2/3

c) 3/2

d) 3

What is the common ratio of the geometric sequence: 1, -2, 4, -8, …?

a) -2

b) 2

c) -4

d) 4

Find the next term in the arithmetic sequence: 21, 15, 9, 3, …?

a) -3

b) -6

c) -9

d) -12

Calculate the sum of the infinite geometric series: 6 + 3 + 3/2 + 3/4 + …

a) 6

b) 9

c) 12

d) Infinity

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

Find the sum of the arithmetic series: 2 + 5 + 8 + 11 + … + 41.

a) 330

b) 333

c) 336

d) 339