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
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