Daily Practice Problems
JEE Maths
Sequence and Series
daily practice problem

­Question 1:

If   and    are in A.P. then the value of  is [Level: Moderate]

(a) 0

(b) -1

(c) 3

(d) None of these

 

Question 2:

Three numbers are in A.P., such that their sum is 24 and sum of their squares is 242.The smallest number is [Level: Easy]

(a)

(b) 5

(c)

(d) none

 

Question 3:

. If 100  , then is equal to [Level: Difficult]

(a) 99

(b) 19

(c) 200

(d) 199

 

Question 4:

Harmonic mean of the equation x2-2+7x+4+27  is _____ [Level: Easy]

 

Question 5 :

If a1,a2,a3,a4,a5  are in HP, then a1a2+a2a3+a3a4+a4a5  is equal to [Level: Moderate]

(a) 2a1a5

(b) 3a1a5

(c) 4a1a5

(d) 6a1a5

 

Question 6:

The sum of first 20 terms of the sequence is [Level: Moderate]

 (a)

(b)

(c)  ..

(d)

 

Question 7:

Consider the sequence   ,the  the value of  is _____ [Level: Moderate]

 

Question 8:

The minimum value of the quantity   where   [Level: Easy]

(a)

(b)

(c)

(d)

 

Question 9:

The sum of the first 10 terms of the A.P. is four times the sum of the first five terms, the ratio to the first term to the common difference is . [Level: Easy]

(a)

(b)

(c)

(d)

 

Question 10:

If ,… are in HP and ,then  are in where [Level: Difficult]

(a) AP

(b) HP

(c) GP

(d) None of these

 

Question 11:

If the sum to n terms of the series

  [Level: Difficult]

(a)

(b)

(c)

(d)

 

 

Question 12:

If |x| >1 then sum of the series  

Then the value of  is __________ . [Level: Difficult]

 

Question 13:

The number of terms common between the two series

up to 50 terms and the series  upto 30 terms [Level: Moderate]

(a) 21

(b) 20

(c) 30

(d) 18

 

Question 14:

Let  are in A.P. if  and , then the value of  is ______. [Level: Moderate]

 

Question 15:

If then find the sum of the series  [Level: Easy]

(a) 2

(b) 3

(c) 5

(d) 7

 

Question 16:

If the length of the sides of a right triangle are in A.P. ,then the sines of the acute angle are   [Level: Moderate]

(a)

(b)

(c)

(d)

 

Question 17:

If nth term of the sequence is given by  is the greatest term, then n  [Level: Moderate]

(a) 2006

(b) 2007

(c) 2009

(d) 2008

 

Question 18:

The sum  terms of the series [Level: Difficult]

(a)

(b)

(c)

(d)

 

Question 19:

The value of x satisfying the equation

lies in the interval

[Level: Moderate]

(a) (95,100)

(b) (100,105)

(c) (110,115)

(d) (120,125)

 

Question 20:

Consider decreasing G.P. :  such that  and  then which of the following does not hold?  [Level: Moderate]

 

(a) The greatest term of G.P. is 9

(b)

(c)

(d)

                                             **********

 

Problem-solving on JEE Maths Sequence and Series NCERT Chapter 9 after learning a theoretical concept is crucial for several reasons:

  1. Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic JEE Maths Sequence and Series you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
  2. Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in JEE Maths Sequence and Series NCERT Chapter 9, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
  3. Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
  4. Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Sequence and Series JEE Maths in practical scenarios helps you remember them better than passive reading or memorization.
  5. Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Sequence and Series JEE Maths Notes on LearnoHub.com
  6. Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Sequence and Series. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
  7. Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Sequence and Series JEE Maths Online Tests at LearnoHub.com.
  8. Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
  9. Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
  10. Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Sequence and Series JEE Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on JEE Maths Sequence and Series NCERT Chapter 9

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Maths Sequence and Series NCERT Chapter 9 useful.

Last but not least, to get the best hold on JEE Maths Sequence and Series NCERT Chapter 9, do not forget to check out:

  • Sequence and Series JEE Maths Best videos
  • Sequence and Series JEE Maths NCERT Solutions
  • JEE Maths Sequence and Series Revision notes
  • Sequence and Series JEE Maths DPPs, Download PDF of solutions
  • JEE Maths Sequence and Series Online Tests
  • JEE Maths Sample papers

Classes

  • Class 4
  • Class 5
  • Class 6
  • Class 7
  • Class 8
  • Class 9
  • Class 10
  • Class 11
  • Class 12
  • ICSE 6
  • ICSE 7
  • ICSE 8
  • ICSE 9
  • ICSE 10
  • NEET
  • JEE

YouTube Channels

  • LearnoHub Class 11,12
  • LearnoHub Class 9,10
  • LearnoHub Class 6,7,8
  • LearnoHub Facts
  • LearnoHub Kids

Overview

  • FAQs
  • Privacy Policy
  • Terms & Conditions
  • About Us
  • NGO School
  • Contribute
  • Jobs @ LearnoHub
  • Success Stories
© Learnohub 2025.