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Sequences and Series — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

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Sample questions from this chapter

How is a series related to a sequence?
  1. A series is formed by adding the terms of a sequence ✓
  2. A sequence is formed by adding the terms of a series
  3. A series is a sequence whose terms are all positive
  4. A series is a sequence written in reverse order
Answer: A. If a₁, a₂, a₃, … is a sequence, the expression a₁ + a₂ + a₃ + … is the series associated with it. The sequence lists the terms; the series adds them.
Why not B: This reverses the two. Adding turns a sequence into a series, not a series into a sequence.
Why not C: Sign has nothing to do with it — the series 1 − 2 + 3 − 4 has negative terms and is still a series.
Why not D: Reversing the order of a sequence produces another sequence; no addition has taken place.
In a GP the 2nd term is 3 and the 5th term is 81. What is the common ratio?
  1. 3 ✓
  2. 27
  3. 9
  4. 26
Answer: A. a₅/a₂ = ar⁴/ar = r³ = 81/3 = 27, so r = ∛27 = 3.
Why not B: 27 is the value of r³, not of r. The cube root still has to be taken.
Why not C: Divides 81 by 3 to reach 27, then divides by 3 once more, as though the ratio were a₅/(a₂ × 3).
Why not D: Subtracts (81 − 3 = 78) and divides by the 3 steps between the terms. That is how a common DIFFERENCE is found, not a common ratio.
The sum of the first three terms of a GP is 13/12 and their product is −1. What are the three terms?
  1. 2, −1, 1/2
  2. 4/3, −1, 3/4 ✓
  3. 3/4, 1, 4/3
  4. 1/3, −1, 3
Answer: B. Write the terms as a/r, a, ar. Their product is a³ = −1 → a = −1. The sum gives −1/r − 1 − r = 13/12 → 12r² + 25r + 12 = 0 → r = −3/4. The terms are 4/3, −1, 3/4.
Why not A: The product is −1, but these sum to 3/2, not 13/12. A convenient ratio was picked instead of solving 12r² + 25r + 12 = 0.
Why not C: Takes the middle term as 1, but a³ = −1 gives a = −1, not 1. The product of these three is +1.
Why not D: Again the product is −1 while the sum is 7/3. Only one of the two conditions has been checked.

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Every NCERT question in this chapter is solved, free: NCERT solutions — Sequences and Series →

Other NEET Maths chapters

SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and Combinations

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Questions

How many NEET questions are there on Sequences and Series?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 11 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.