Sequences and Series

12 solved questions from Class 11 Mathematics, each with the full working. Tap any question to see the step-by-step solution.

• 1 What is the domain, range, or fundamental theorem introduced in 'Sequences and Series' (Class 11 Mathematics)? medium MCQ Functions & Theorems
• 2 What is the derivative or integral formula associated with 'Sequences and Series'? medium MCQ Calculus & Formulae
• 3 How do you find the solution set or optimum value in 'Sequences and Series'? medium MCQ Problem Solving & Optimization
• 4 Find the sum to infinity of the geometric series whose first term is 2 and common ratio is 1/3. medium 3 marks Sum to infinity of convergent GP
• 5 Evaluate the sum Σ_(n=1)^100 1/n(n+1). medium 3 marks Telescoping series
• 6 Determine whether the infinite series Σ_(n=1)^(∞) 1/(n^2+n) converges or diverges. If it converges, find its sum. hard 3 marks Telescoping series convergence
• 7 Find the sum of the first 10 terms of the arithmetic progression whose first term is 7 and common difference is 4. easy 1 mark Arithmetic series sum
• 8 Find the sum to infinity of the geometric series whose first term is 5 and common ratio is 2/3. medium MCQ 2 marks Geometric series convergence
• 9 Find the sum to infinity of the geometric series whose first term is 12 and common ratio is 1/4. medium 2 marks Geometric series to infinity
• 10 What is the sum of the first 8 terms of the arithmetic progression whose first term is 3 and common difference is 5? easy MCQ 1 mark Arithmetic progression sum
• 11 Determine whether the infinite series Σ_(n=1)^(∞) 1/(n^2+3n+2) converges, and if it does, find its sum. hard 4 marks Telescoping series
• 12 Does the infinite series Σ_(n=1)^(∞) ((-1)^n+1)/n converge? If yes, find its sum. hard 4 marks Alternating series convergence