How can I double check my math answers?

Resolve equations using alternative methods (e.g., check quadratic roots by plugging them back into ax² + bx + c), verify decimals using scientific solvers, and review step-by-step worked calculations.

Where are these syllabus concepts applied in real life?

Trigonometry is used in architecture, mechanics and navigation. Quadratic equations model rocket trajectories and profit boundaries. Basic arithmetic and fractions are applied in accounting, budgeting and lab chemistry.

Back to Class XI Mathematics

Class XI Mathematics

Chapter 8: Sequences and Series

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Select Syllabus Tab:

Syllabus Sections

Print-Ready Math Worksheet

Generate and print a beautiful chapter worksheet complete with key equations, problems, and dedicated writing spaces.

Worksheet Details:

• Title: Class XI Math: Sequences and Series Printable Sheet
• Format: Print Optimized CSS stylesheet
• Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class XI Mathematics: Sequences and Series

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Sum of GP

S_n = \frac{a(r^n - 1)}{r - 1}

Sum of Infinite GP

S_\infty = \frac{a}{1 - r}

AM GM Inequality

AM \geq GM \Rightarrow \frac{a+b}{2} \geq \sqrt{ab}

Section II: Answer the Questions

1. Case-Study 2: One triangular shaped pond is there in a park. Three friends Rani, Mansi, Sneha are sitting at the corners of the triangular park. They are studying in Class XI in an International. Rani marked her position as (2, -2), Mansi marked as (1, 1) and Sneha marked her position as (-1, 0) as shown in figure given below. Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 12 Based on the above information

Solve and write the step-by-step solution in the workspace below.

2. Three numbers are in AP their sum is 15. If 1, 3, 9 be added to them respectively they form a GP. Find the numbers.

Solve and write the step-by-step solution in the workspace below.

3. Case-Study 1: Two students, Anil and Vijay, appeared in a highly competitive examination. Anil has been preparing part-time while managing a job, which has left him with limited preparation time. On the other hand, Vijay, though dedicated, has struggled with certain key concepts. Based on their preparation and past performance, the probability that Anil will qualify the examination is estimated to be 0.05, and the probability that Vijay will qualify is estimated at 0.10. Additionally, the probability that both students will qualify together, due to their independent preparation and individual strengths, is calculated as 0.02. Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 11 (a) Find the probability that at least one of them will qualify the exam. (b) Find the probability that at least one of them will not qualify the exam. (c) Find the probability that both Anil and Vijay will not qualify the exam. (d) Find the probability that only one of them will qualify the exam.

Solve and write the step-by-step solution in the workspace below.

4. [Worksheet Question 1] Apply the formula Sum of GP to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined

5. [Worksheet Question 2] Apply the formula Sum of GP to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined