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 9 of 9
- A. 2^n
- B. n^
- C. n + 1
- D. n - 1
Explanation: Solution:The correct answer is c) n + 1.The expansion of (1 + x)^n can be written as:(1 + x)^n = 1 + nx + n(n-1)x^2/2! + n(n-1)(n-2)x^3/3!
Correct answer: n + 1- A. 60
- B. 10
- C. 6/4
- D. 2
Explanation: The general term of a Binomial expansion of (a + x)^r is given as:Tr+1 = (r!)(a)^(r-r)(x)^rFor the given expression (2 - x)^6, the general…
Correct answer: 60- A. No such term
- B. Middle Term
- C. Last Term
- D. None of these
Explanation: The correct answer is a) No such term.The expansion of (x^2 - 1/2x)^7 can be written as:(x^2 - 1/2x)^7 = x^14 - 7x^12(1/2x) +…
Correct answer: No such term