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 7 of 9
- A. (r+1) (r+2)/2
- B. (r+1) (r+2)x4
- C. (-1) (r+1) (r+2)x4/2
- D. (-1) (r+1) (r+2)x4
Explanation: Correct Answer "(r+1) (r+2)/2"Solution:T=(r+1) (r+2)/2Hence Answer is "(C)"
Correct answer: (r+1) (r+2)/2- A. 4(2-1)
- B. 2n²+2n+1
- C. (-1)(n+1)
- D. (-1)" (n+1)
Explanation: Correct Answer "4(2n-1)"Solution:Hence Answer is "(A)"
Correct answer: 4(2-1)- A. (-1)-2 (2x)-2
- B. (-1)-4 (-2x)-2
- C. (-1)-4 (2x)-1
- D. Does not exist
Explanation: Correct Answer "Does not exist"Solution:No last term because an infinite sequence has no last termHence Answer is "(D)"
Correct answer: Does not exist- A. (-1) 2"
- B. 2n
- C. (-1)(n+1)xn
- D. (n+1)2"
Explanation: Correct Answer "(n+1)2 "Solution:By verificationHence Answer is "(D)"
Correct answer: (n+1)2"- A. rth
- B. (r+1)th
- C. (r-1)th
- D. (r+2)th
Explanation: Correct Answer " (r+1)th"Solution :(r+1)th termHence Answer is "(B)"
Correct answer: (r+1)th- A. n
- B. n-1
- C. n-2
- D. n+1
Explanation: Correct Answer "(n+1)"Solution:Hence Answer is "(D)"
Correct answer: n+1- A. a=2,b=2
- B. a=3,b=2
- C. a=2,b=-6
- D. a=-3,b=2
Explanation: Correct Answer "a=2,b=-6"Solution :Hence Answer is "(C)"
Correct answer: a=2,b=-6128. 1+1/4+1.3/4.8=....=
- A. 4/√5
- B. 2/√5
- C. 3/√5
- D. √2
Explanation: Correct Answer "√2"Solution:Hence Answer is "(D)"
Correct answer: √2- A. 1.2
- B. 2, 3
- C. 3.6
- D. 2, 4
Explanation: Correct Answer "24"Solution:Hence Answer is "(D)"
Correct answer: 2, 4- A. 0
- B. 1
- C. 2
- D. -1
Explanation: Correct Answer "1"Solution :(1-2x)-1/2 =1+x+....Hence Answer is "(B)"
Correct answer: 1- A. 2
- B. 1/2
- C. 3
- D. 4
Explanation: Correct Answer "1/2"Solution :Hence Answer is "(B)"
Correct answer: 1/2- A. 1-1/2x-1/8x2-1/16x3
- B. 1+1/2x+1/8x2+1/16x3
- C. 1+1/2x+1/4x2+1/8x3
- D. 1-1/2x-1/4x2+1/8x3
Explanation: Correct Answer "1-1/2x-1/8x2-1/16x3"Solution :Hence Answer is "(A)"
Correct answer: 1-1/2x-1/8x2-1/16x3- A. -2/3,-1/2
- B. 2/3,1/2
- C. 4/9,1/2
- D. -4/9,-1/2
Explanation: Correct Answer "-4/9,-1/2"Solution :Hence Answer is "(D)"
Correct answer: -4/9,-1/2- A. 1-1/2x-9/8x2
- B. 1+1/2x+9/8x2
- C. 1+1/2x
- D. 1-1/2x
Explanation: Correct Answer "1-1/2x-9/8x2 "Solution :Hence Answer is "(A)"
Correct answer: 1-1/2x-9/8x2- A. 1.523
- B. 1.456
- C. 1.987
- D. 1.234
Explanation: Correct Answer "1.987"Solution :Hence Answer is "(C)"
Correct answer: 1.987- A. (1-x)-2
- B. (1-x)-1
- C. (1+x)-1
- D. None of these
Explanation: Correct Answer "None of these"Solution :Binomial series is only valid for |x| < 1Hence Answer is "(D)"
Correct answer: None of these- A. 2.000
- B. 2.002
- C. 2.002 3
- D. 2.016
Explanation: **Correct Answer:** (b) 2.002**Explanation:**To find \( (8.2)^{\frac{1}{3}} \), we take the cube root of 8.2.\[ (8.2)^{\frac{1}{3}}…
Correct answer: 2.002- A. n = 0
- B. n = 1
- C. n ≥ 2
- D. n is any positive integer
Explanation: To determine the range of values for n where the statement "4^n > 3^n + 4" is true, we need to analyze the inequality.
Correct answer: n ≥ 2- A. n = 2
- B. n = 4
- C. n = 6
- D. n ≥ 6
Explanation: To determine the range of values for n where the statement "3^n < n!" is true, we need to analyze the inequality.For n ≥ 6, the statement…
Correct answer: n ≥ 6- A. (n c r) a^(n-r) x^r
- B. (n c r) a^(n-r) x^(n-r)
- C. (n c r) a^(r) x^(n-r)
- D. (n c r) (a x)^(n-r)
Explanation: The general term of the binomial expansion (a + x)^n is given by the formula:(n c r) a^(n-r) x^rWhere:n is the exponent of the binomial…
Correct answer: (n c r) a^(n-r) x^r