Sequences and Series Case Study Questions Class 11 Maths Chapter 8

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Hello students, we are providing case study questions for class 11 Maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 11 Maths. In this article, you will find case study questions for cbse class 11 Maths chapter 8 Sequences and Series.

Chapter	Sequences and Series
Type of Questions	Case Study Questions
Nature of Questions	Competency Based Questions
Board	CBSE
Class	11
Subject	Maths
Useful for	Class 12 Studying Students
Answers provided	Yes
Difficulty level	Mentioned
Important Link	Class 11 Maths Chapterwise Case Study

Table of Contents

Case Study Questions on Sequences and Series

Customised Study Materials for Teachers, Schools and Coaching Institute

Case Study:
A company rewards its employees for punctuality by giving a bonus that increases in a specific pattern every month. In the first month, the bonus is ₹1,000. Every subsequent month, the bonus increases by ₹500 more than the previous month. The sequence of monthly bonuses continues for the entire year (12 months).

Questions:

Write the sequence of bonuses for the first 4 months.
Find the formula for the bonus in the \( n \)th month.
Calculate the total bonus received by an employee over the year.
In which month will the bonus first exceed ₹5,000?

Solutions:

1. Sequence of bonuses for the first 4 months:

This is an arithmetic sequence with first term \( a = 1,000 \), common difference \( d = 500 \): \[ \begin{align*} \text{Month 1:}\ & 1,000 \\ \text{Month 2:}\ & 1,500 \\ \text{Month 3:}\ & 2,000 \\ \text{Month 4:}\ & 2,500 \\ \end{align*} \]

2. Formula for the \( n \)th month bonus:

For arithmetic progression: \[ a_n = a + (n-1)d \] \[ a_n = 1,000 + (n-1) \times 500 = 500n + 500 \]

3. Total bonus over 12 months:

Sum of the first \( n \) terms of an AP: \[ S_n = \frac{n}{2}[2a + (n-1)d] \] For \( n = 12 \): \[ S_{12} = \frac{12}{2}[2 \times 1,000 + 11 \times 500] = 6[2,000 + 5,500] = 6 \times 7,500 = \boxed{45,000} \]

4. In which month does the bonus exceed ₹5,000?

Set \( a_n > 5,000 \): \[ 1,000 + (n-1) \times 500 > 5,000 \\ (n-1) \times 500 > 4,000 \\ n-1 > 8 \\ n > 9 \] So, in the \( \boxed{10^{th}} \) month, the bonus will first exceed ₹5,000.

We hope the given case study questions for Sequences and Series Class 11 helps you in your learning.

Also check

Topics from which case study questions may be asked

Introduction to Sequences and Series
Arithmetic Progression (A.P.)
nth Term and Sum of n Terms of an A.P.
Arithmetic Mean (A.M.)
Geometric Progression (G.P.)
nth Term and Sum of n Terms of a G.P.
Infinite G.P. and its Sum
Geometric Mean (G.M.)
Relation Between A.M. and G.M.

Frequently Asked Questions (FAQs) on Sequences and Series Case Study Questions

Q1: What is a case study question in mathematics?

A1: A case study question in mathematics is a problem or set of problems based on a real-life scenario or application. It requires students to apply their understanding of mathematical concepts to analyze, interpret, and solve the given situation.

Q2: How should students tackle case study questions in exams?

A2: To tackle case study questions effectively, students should:
Read the problem carefully: Understand the scenario and identify the mathematical concepts involved.
Break down the problem: Divide the case study into smaller parts to manage the information better.
Apply relevant formulas and theorems: Use the appropriate mathematical tools to solve each part of the problem.

Q3: Why are case study questions included in the Class 11 Maths curriculum?

A3: Case study questions are included to bridge the gap between theoretical knowledge and practical application. They help students see the relevance of what they are learning and prepare them for real-life situations where they may need to use these mathematical concepts.

Q4: Are there any online resources or tools available for practicing “Sequences and Series” case study questions?

A12: We provide case study questions for CBSE Class 11 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.