Sequence & Series MCQs Class 11 Mathematics Practice Set
Sequence & Series MCQs Class 11 Mathematics Practice Set
Class: CBSE Class 11 Mathematics
Subject: Mathematics
Section: Algebra
Topic: Sequence & Series
Board: CBSE Board Examinations
Subject: Mathematics
Section: Algebra
Topic: Sequence & Series
Board: CBSE Board Examinations
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination standards. Each question includes detailed explanations for strong conceptual clarity.
1. The 10th term of the AP: 2, 5, 8, ... is:
Answer: B) 29
Explanation: a = 2, d = 3 → a₁₀ = a + 9d = 2 + 27 = 29.
Explanation: a = 2, d = 3 → a₁₀ = a + 9d = 2 + 27 = 29.
2. Common difference of 7, 11, 15, ... is:
Answer: C) 4
Explanation: d = 11 − 7 = 4.
Explanation: d = 11 − 7 = 4.
3. The nth term of an AP is:
Answer: B
Explanation: Standard formula aₙ = a + (n−1)d.
Explanation: Standard formula aₙ = a + (n−1)d.
4. Sum of first n terms of AP is:
Answer: A
Explanation: Standard sum formula.
Explanation: Standard sum formula.
5. 5th term of GP: 3, 6, 12, ... is:
Answer: C) 48
Explanation: a=3, r=2 → a₅ = ar⁴ = 3×16 = 48.
Explanation: a=3, r=2 → a₅ = ar⁴ = 3×16 = 48.
6. Common ratio of GP: 5, 10, 20,... is:
Answer: A
Explanation: r = 10/5 = 2.
Explanation: r = 10/5 = 2.
7. Sum of first n terms of GP:
Answer: A
Explanation: Standard GP sum formula.
Explanation: Standard GP sum formula.
8. If r = 1 in GP, sum =
Answer: C
Explanation: All terms equal → sum = na.
Explanation: All terms equal → sum = na.
9. Arithmetic mean between 4 and 16:
Answer: B
Explanation: (4+16)/2 = 10.
Explanation: (4+16)/2 = 10.
10. Geometric mean between 4 and 16:
Answer: A
Explanation: √(4×16)=8.
Explanation: √(4×16)=8.
11. If aₙ = 3n+1, find a₅:
Answer: B
Explanation: 3(5)+1=16.
Explanation: 3(5)+1=16.
12. First term of AP if aₙ=2n−1:
Answer: A
Explanation: n=1 → 1.
Explanation: n=1 → 1.
13. d if aₙ=n² sequence:
Answer: B
Explanation: Differences increase.
Explanation: Differences increase.
14. Sum of first 10 natural numbers:
Answer: C
Explanation: n(n+1)/2 = 55.
Explanation: n(n+1)/2 = 55.
15. r if GP: 81, 27, 9,...
Answer: B
Explanation: 27/81 = 1/3.
Explanation: 27/81 = 1/3.
16. Infinite GP sum formula:
Answer: A
Explanation: Valid for |r|<1.
Explanation: Valid for |r|<1.
17. If a=2, d=5 → a₄:
Answer: A
Explanation: 2+3×5=17.
Explanation: 2+3×5=17.
18. Middle term of AP with odd terms:
Answer: C
Explanation: Equals arithmetic mean.
Explanation: Equals arithmetic mean.
19. If r>1 GP is:
Answer: B
Explanation: Terms grow.
Explanation: Terms grow.
20. Sequence defined by formula is:
Answer: C
Explanation: Defined using general term rule.
Explanation: Defined using general term rule.