Free Sequences and Series MCQs with Answers
163 Sequences and Series MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Sequences describe ordered terms formed by a pattern, while series represent the sum of those terms. Questions cover arithmetic and geometric sequences, their nth terms, common difference or ratio, finite sums, and applications, with the sequence itself kept distinct from the corresponding series.
Last updated
163 questions · page 1 of 9
- A. 5/36
- B. 4/36
- C. 1/12
- D. 1/2
Explanation: Two dice have 36 equally likely outcomes, and a sum of 8 occurs in five ways: (2,6), (3,5), (4,4), (5,3) and (6,2).
Correct answer: 5/36- A. 22
- B. 32
- C. 11
- D. 19
Explanation: The terms follow an alternating pattern: 4 + 4 = 8, 8 + 1 = 9, 9 + 4 = 13, 13 + 1 = 14, and 14 + 4 = 18.
Correct answer: 19- A. 4970
- B. 4950
- C. 4900
- D. 4980
Explanation: The first 70 even numbers are 2, 4, ..., 140, which can be written as 2(1 + 2 + ... + 70). Since 1 + 2 + ...
Correct answer: 4970- A. 4900
- B. 4970
- C. 4960
- D. None of these
Explanation: The sum of the first n odd numbers is n² because the terms form 1 + 3 + 5 + ... + (2n - 1). For n = 70, the sum is 70² = 4,900.
Correct answer: 4900- A. 36
- B. 40
- C. 46
- D. 52
Explanation: The successive differences are 5, 7, 9 and 11, increasing by 2 each time. The next difference is therefore 13, giving 33 + 13 = 46.
Correct answer: 46- A. 6
- B. 9
- C. 15
- D. 18
Explanation: With three distinct flags, single-flag codes give 3 arrangements, two-flag codes give 3P2 = 3 x 2 = 6 arrangements, and three-flag codes…
Correct answer: 15- A. 6
- B. 24
- C. 96
- D. 720
Explanation: The terms follow factorials: 1, 1, 2, 6, 24, 120, 720, so the sixth term should be 5! = 120, not 96.
Correct answer: 96- A. Asteroid
- B. Star
- C. Planet
- D. Comet
- E. Rocket
Explanation: Asteroids, stars, planets and comets are naturally occurring astronomical objects, whereas a rocket is a human-made vehicle.
Correct answer: Rocket- A. 9, 11, 13
- B. 11, 13, 15
- C. 13, 15, 17
- D. 7, 9, 11
- E. None of these
Explanation: Let the three consecutive odd integers be x, x + 2 and x + 4. Their condition gives (x + 2) + (x + 4) = x + 13, so x = 7 and the integers…
Correct answer: 7, 9, 11- A. 74
- B. 76
- C. 70
- D. 68
- E. None of these
Explanation: Let the smallest consecutive even number be x; the four numbers are x, x + 2, x + 4 and x + 6.
Correct answer: 70- A. 248
- B. 240
- C. 228
- D. 236
- E. None of these
Explanation: Let the least number in the five consecutive even numbers be x. Then 5x + 20 = 440, so x = 84; the second least number of the different…
Correct answer: 240- A. 8
- B. 12
- C. 6
- D. 14
- E. None of these
Explanation: Write the six consecutive even numbers as x, x + 2, x + 4, x + 6, x + 8 and x + 10.
Correct answer: 12- A. 63
- B. 511
- C. 1023
- D. 15
Explanation: Each of the five problems has four possibilities: not attempted or one of three internal choices.
Correct answer: 1023- A. 25
- B. 13
- C. 40
- D. 30
Explanation: TRIANGLE has 5 consonants, T, R, N, G and L, and 3 vowels, I, A and E. The number of selections is 5C3 x 3C2 = 10 x 3 = 30 ways.
Correct answer: 30- A. ⁹C₂
- B. ³C₂
- C. ¹⁶C₂
- D. ¹²C₂
Explanation: There are 9 + 3 + 4 = 16 balls in total, and drawing two balls without regard to order gives 16C2 = (16 x 15)/2 = 120 ways.
Correct answer: ¹⁶C₂- A. 60
- B. 360
- C. 120
- D. 240
Explanation: Only 2 is even, so the units place is fixed as 2. The remaining three places can be filled from the other 5 digits in 5 x 4 x 3 = 60 ways.
Correct answer: 60- A. 360
- B. 60
- C. 300
- D. 180
Explanation: There are 6 distinct digits and repetition is not allowed, so the four places can be filled in 6 x 5 x 4 x 3 = 360 ways.
Correct answer: 360- A. 216
- B. 243
- C. 215
- D. 729Downloading Interactive Party Trivia Games
Explanation: Each of the three rings has 6 choices, so the lock has 6 x 6 x 6 = 216 total combinations.
Correct answer: 215- A. 165
- B. 185
- C. 205
- D. 225
Explanation: There are 5 + 6 = 11 committee members, and selecting 8 without regard to order gives 11C8 = 11C3 = (11 x 10 x 9)/(3 x 2 x 1) = 165 ways.
Correct answer: 165- A. 150
- B. 200
- C. 250
- D. 300
Explanation: Choose 2 men from 5 and 3 women from 6: 5C2 x 6C3 = 10 x 20 = 200 ways.
Correct answer: 200Sequences and Series MCQs: common questions
Are these Sequences and Series MCQs free?
Yes. All Sequences and Series MCQs from Mathematics are free on TestUstad, with unlimited attempts and no account needed. Nothing on this page is a sample or a trial.
How many Sequences and Series MCQs are on this page?
There are 163 Sequences and Series MCQs in the Mathematics bank, shown 20 to a page with the correct answer and an explanation on each.
Does every Sequences and Series MCQ have an explanation?
Yes. Each Sequences and Series question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
Can I take a timed Sequences and Series test?
Yes. The practice button on this page starts a free Sequences and Series test drawn from the Mathematics bank. It marks each answer instantly, gives you a score at the end, and can be retaken as many times as you like.