Class 11 Mathematics: Sequences and Series Worksheet
This worksheet challenges students with advanced problems on Arithmetic Progressions (AP), Geometric Progressions (GP), Harmonic Progressions (HP), and special series, testing their conceptual understanding and problem-solving skills.
Class 11CBSEMathematicshardPractice
Preview · 10 questions
- Q1. If the sum of n terms of an A.P. is given by S_n = 3n^2 + 2n, then the common difference of the A.P. is:
- 2
- 3
- 6
- 5
- Q2. If a, b, c are in A.P., b, c, d are in G.P. and c, d, e are in H.P., then a, c, e are in:
- A.P.
- G.P.
- H.P.
- None of these
- Q3. The sum of the series 1 / (1 × 2) + 1 / (2 × 3) + 1 / (3 × 4) + ... up to n terms is:
- n / (n + 1)
- 1 / n
- n / (n - 1)
- (n + 1) / n
- Q4. If x, y, z are in G.P. and a^x = b^y = c^z, then:
- log a, log b, log c are in A.P.
- log a, log b, log c are in G.P.
- log a, log b, log c are in H.P.
- None of these
- Q5. The sum of the infinite series 1 + x / (1 + x) + x^2 / (1 + x)^2 + ... (for |x| < 1) is:
- 1 + x
- 1 / (1 + x)
- (1 + x) / x
- (1 + x) / (1 - x)
+ 5 more in the printable PDF.