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.
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163 questions · page 5 of 9
- A. 20
- B. 42
- C. 58
- D. 72
Explanation: Three numbers are products of consecutive even numbers: 20 = 4 x 5, 42 = 6 x 7, and 72 = 8 x 9.
Correct answer: 58- A. 4422
- B. 2442
- C. 4242
- D. 2244
Explanation: 4422, 2442, and 2244 each contain a pair of identical adjacent digits, namely 44 or 22.
Correct answer: 4242- A. 30
- B. 27
- C. 36
- D. 45
Explanation: 27, 36, and 45 are all multiples of 9: 27 = 9 x 3, 36 = 9 x 4, and 45 = 9 x 5.
Correct answer: 30- A. 35
- B. 48
- C. 75
- D. 84
Explanation: 48, 75, and 84 are divisible by 3 because their digit sums are 12, 12, and 12 respectively.
Correct answer: 35- A. 343
- B. 121
- C. 1331
- D. 2197Downloading Digital Educational Resources
Explanation: 343 = 7 x 7 x 7, 1331 = 11 x 11 x 11, and 2197 = 13 x 13 x 13, so these are perfect cubes.
Correct answer: 121- A. 41
- B. 43
- C. 53
- D. 57
Explanation: 41, 43, and 53 are prime numbers because each has no divisor other than 1 and itself. 57 is composite because 57 = 3 x 19.
Correct answer: 57- A. 27
- B. 37
- C. 47
- D. 67
Explanation: 37, 47, and 67 are prime numbers, while 27 is composite because 27 = 3 x 9.
Correct answer: 27- A. 3
- B. 4
- C. 5
- D. 9
Explanation: 3, 5, and 9 are odd numbers, but 4 is even because it is divisible by 2. Therefore, 4 does not follow the common odd-number property.
Correct answer: 4- A. 2^-1
- B. 2^
- C. 2^+1
- D. n2
Explanation: Correct Answer "2^n -1"Solution:Sum of even bionomial coefficients=2^-1Hence Answer is "(A)"
Correct answer: 2^-1- A. 6th term
- B. 4th term
- C. 5th term
- D. 3rd term
Explanation: Correct Answer "6th Term"Solution:Hence Answer is "(A)"
Correct answer: 6th term- A. n ∈ O
- B. n ∈ N
- C. n ∈ E
- D. n ∈ W
Explanation: Correct Answer "n element of W"Solution :Hence Answer is "(D)"
Correct answer: n ∈ W- A. 3
- B. 5
- C. 2
- D. 4
Explanation: Correct Answer "4"Solution:n+1/2 =7+1/2=4Hence Answer is "(D)"
Correct answer: 4- A. 2
- B. 52
- C. 24
- D. 55
Explanation: Correct Answer "5^5"Solution:sum of coefficients=(3+2)2=5
Correct answer: 55- A. -5687/8x5
- B. 5687/8x5
- C. -15309/8x5
- D. 15309/8x5
Explanation: Correct Answer "15309/8x5 "Solution:Hence Answer is "(C)"
Correct answer: -15309/8x5- A. 198/x2
- B. -198/x2
- C. 188/x2
- D. -188/x2
Explanation: Correct Answer" -198/x2"Solution:Hence Answer is "(B)"
Correct answer: -198/x2- A. 16.64
- B. 16.44
- C. 16.40
- D. 16.60
Explanation: Correct Answer "16.64"Solution :Hence Answer is "(A)"
Correct answer: 16.64- A. n = 3
- B. n = 4
- C. n = 5
- D. n = 6
Explanation: Correct Answer "n = 3"Solution :Hence Answer is "(A)"
Correct answer: n = 398. Binomial expansion of an expression A is given by 1-8x+24x²-32x² + 16x4 the expression A is given by
- A. A = (1-2x)4
- B. A = (1-4x)
- C. A = (1+2x)4
- D. A = (1-4x)4
Explanation: Correct Answer A = (1-2x)4Solution :Hence Answer is "(A)"
Correct answer: A = (1-2x)4- A. 5
- B. 10
- C. 25
- D. 4
Explanation: Correct Answer "10"Solution :Hence Answer is "(B)"
Correct answer: 10- A. 5689a4
- B. 4032 a2 / X5
- C. 895 a4 / 86 / X5
- D. 682 a4 / 9 X3
Explanation: Correct Answer 4032 a2 / X5 Solution :Hence Answer is "(B)"
Correct answer: 4032 a2 / X5