Series MCQs with Answers

Series 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 MCQs for Preparation.

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

Series Online MCQs with Answers

What is the sum of the arithmetic series 2 + 5 + 8 + 11 + … if there are 20 terms?
a) 300
b) 320
c) 340
d) 360

Answer
c) 340

Which type of series does not have a common difference or ratio?
a) Arithmetic series
b) Geometric series
c) Harmonic series
d) Fibonacci series

Answer
d) Fibonacci series

What is the nth term of the geometric series 3, 6, 12, 24, …?
a) 3^n
b) 2^n
c) 3^(n+1)
d) 2^(n-1)

Answer
b) 2^n

What is the sum of the infinite geometric series 2 + 4 + 8 + 16 + …?
a) 32
b) 48
c) 64
d) The series diverges

Answer
d) The series diverges

What is the sum of the first 10 terms of the harmonic series 1 + 1/2 + 1/3 + 1/4 + …?
a) 1
b) 2
c) 3
d) The series diverges

Answer
c) 3

What is the common ratio of the geometric series 5, -10, 20, -40, …?
a) 2
b) -2
c) 1/2
d) -1/2

Answer
d) -1/2

What is the sum of the arithmetic series 10 + 15 + 20 + … + 85?
a) 375
b) 400
c) 425
d) 450

Answer
b) 400

What is the nth term of the arithmetic series 7, 12, 17, 22, …?
a) 7 + 5n
b) 7 + 6n
c) 12 + 5n
d) 12 + 6n

Answer
b) 7 + 5n

What is the sum of the first 15 terms of the Fibonacci series?
a) 89
b) 144
c) 233
d) 377

Answer
b) 144

What is the next term in the arithmetic series 3, 8, 13, 18, …?
a) 23
b) 24
c) 25
d) 26

Answer
a) 23

What is the sum of the first 12 terms of the arithmetic series 6 + 9 + 12 + … if there are 50 terms in total?
a) 600
b) 675
c) 750
d) 825

Answer
b) 675

Which of the following is an example of an infinite series?
a) 1 + 2 + 3 + 4 + …
b) 2 + 4 + 6 + 8 + …
c) 3 + 6 + 9 + 12 + …
d) 4 + 8 + 12 + 16 + …

Answer
a) 1 + 2 + 3 + 4 + …

What is the common ratio of the geometric series 10, 5, 2.5, 1.25, …?
a) 0.5
b) 1.25
c) 2
d) 2.5

Answer
a) 0.5

What is the sum of the first 8 terms of the geometric series 3, 6, 12, 24, …?
a) 45
b) 60
c) 90
d) 120

Answer
b) 60

What is the sum of the infinite geometric series 5 + 1.25 + 0.3125 + 0.078125 + …?
a) 6
b) 6.25
c) 6.5
d) The series diverges

Answer
c) 6.5

What is the next term in the geometric series 2, 4, 8, 16, …?
a) 24
b) 28
c) 32
d) 36

Answer
c) 32

What is the sum of the arithmetic series 2 + 5 + 8 + … + 50 if there are 15 terms in total?
a) 400
b) 425
c) 450
d) 475

Answer
b) 425

What is the nth term of the geometric series 4, 12, 36, 108, …?
a) 3^n
b) 4^n
c) 3^(n+1)
d) 4^(n-1)

Answer
b) 4^n

What is the sum of the first 10 terms of the harmonic series 1 + 1/2 + 1/3 + … + 1/10?
a) 2.78
b) 3.03
c) 3.32
d) 3.63

Answer
c) 3.32

What is the next term in the arithmetic series 11, 21, 31, 41, …?
a) 51
b) 52
c) 53
d) 54

Answer
a) 51

What is the sum of the first 15 terms of the arithmetic series 2 + 6 + 10 + … if there are 25 terms in total?
a) 400
b) 500
c) 600
d) 700

Answer
c) 600

Which type of series has a constant common difference or ratio?
a) Arithmetic series
b) Geometric series
c) Harmonic series
d) Fibonacci series

Answer
a) Arithmetic series

What is the common difference of the arithmetic series 15, 11, 7, 3, …?
a) 2
b) 3
c) 4
d) 5

Answer
b) 3

What is the sum of the geometric series 4 + 2 + 1 + 0.5 + … if there are 8 terms?
a) 15.875
b) 16
c) 16.125
d) 16.25

Answer
c) 16.125

What is the common ratio of the geometric series 7, -14, 28, -56, …?
a) -2
b) -4
c) -7
d) -14

Answer
a) -2

What is the sum of the first 20 terms of the harmonic series 1 + 1/3 + 1/5 + … + 1/39?
a) 1.754
b) 2.148
c) 2.554
d) 2.958

Answer
b) 2.148

What is the sum of the infinite geometric series 8 + 4 + 2 + 1 + …?
a) 16
b) 20
c) 24
d) The series diverges

Answer
a) 16

What is the next term in the arithmetic series 7, 14, 21, 28, …?
a) 32
b) 35
c) 38
d) 41

Answer
c) 38

What is the nth term of the arithmetic series 3, 7, 11, 15, …?
a) 3n
b) 4n – 1
c) 4n + 1
d) 4n + 3

Answer
d) 4n + 3

What is the sum of the first 10 terms of the Fibonacci series?
a) 34
b) 55
c) 89
d) 144

Answer
b) 55

What is the sum of the first 50 terms of the arithmetic series 5 + 10 + 15 + … if there are 100 terms in total?
a) 1250
b) 1500
c) 1750
d) 2000

Answer
c) 1750

Which type of series has a common difference of 0?
a) Arithmetic series
b) Geometric series
c) Harmonic series
d) Fibonacci series

Answer
a) Arithmetic series

What is the common ratio of the geometric series 3, 6, 12, 24, …?
a) 1
b) 2
c) 3
d) 4

Answer
b) 2

What is the sum of the geometric series 9 + 4.5 + 2.25 + … if there are 5 terms?
a) 18
b) 20
c) 22.5
d) 25

Answer
c) 22.5

What is the common difference of the arithmetic series -10, -7, -4, -1, …?
a) 1
b) 2
c) 3
d) 4

Answer
c) 3

What is the sum of the first 10 terms of the harmonic series 1 + 1/4 + 1/9 + … + 1/100?
a) 0.945
b) 0.96
c) 0.975
d) 0.99

Answer
a) 0.945

What is the sum of the infinite geometric series 2 + 1 + 1/2 + 1/4 + …?
a) 2
b) 3
c) 4
d) The series diverges

Answer
b) 3

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

Answer
a) 0

What is the nth term of the arithmetic series 2, 5, 8, 11, …?
a) 2n
b) 2n + 1
c) 3n
d) 3n + 1

Answer
c) 3n

What is the sum of the first 12 terms of the Fibonacci series?
a) 89
b) 144
c) 233
d) 377

Answer
b) 144

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