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Practice Paper: Sequences and Series

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JEE Test Series 2026

How to Solve Sequences and Series Problems Easily

The Sequences and Series Practice Paper is a crucial chapter of JEE Main studies because it is because it covers topics like arithmetic progression, geometric progression, and infinite series and helps in achieving excellence in JEE Main Maths.


Vedantu is helping students in their JEE Main Maths preparation through a complimentary PDF download of the Sequences and Series Practice Paper. This valuable resource facilitates chapter-wise practice, ensuring comprehensive coverage of every important topic. By accessing it for FREE, you can elevate your knowledge and boost your confidence in solving questions effectively. Detailed solutions and answer keys are included to address doubts and provide step-wise guidance for practicing questions. You can also enhance your question-solving speed by engaging with Vedantu’s Sequences and Series Practice Paper for JEE Main.


A minimum of 2 questions associated with the Sequences and Series chapter await you in the JEE Main Exam. Delve into the table to gain insights into the weightage of the Sequences and Series chapter over the last five years in the JEE Main Exam.


Year

Weightage of JEE Main Questions From Sequences and Series

2023

6%

2022

6%

2021

6%

2020

6%

2019

6%


Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Sequences and Series Practice Paper today to excel in your JEE Main exams!

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Practice Paper: Sequences and Series
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Sequence and Series JEE [𝐎𝐧𝐞 𝐒𝐡𝐨𝐭 + 𝐌𝐨𝐜𝐤 𝐓𝐞𝐬𝐭] | 𝐉𝐄𝐄 𝟐𝟎𝟐𝟑 𝐕𝐬 𝐉𝐄𝐄 𝟐𝟎𝟐𝟏 | Vedantu JEE | Arvind Kalia
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Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Maths,Physics, and Chemistry—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Physics, as well as Chemistry Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for JEE Main Subject-wise Practice Paper.


Subject-wise Links For JEE Main Practice Paper

JEE Main Physics Practice Paper

JEE Main Chemistry Practice Paper


Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers need to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.



Important Topics From Sequences and Series for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Sequences and Series. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper of Sequences and Series. Here are some of the important topics of Sequences and Series.


  • Arithmetic Progression (AP):

Understanding the common difference, finding nth term, sum of first n terms, and solving problems involving arithmetic sequences.


  • Geometric Progression (GP):

Exploring the common ratio, finding nth term, sum of an infinite geometric series, and solving problems related to geometric sequences.


  • Harmonic Progression (HP):

Learning about the reciprocal of an arithmetic progression, finding the nth term, and solving problems involving harmonic sequences.


  • Special Series:

Studying series like the sum of squares, sum of cubes, and other specific types of series.


  • Summation Notation (Sigma Notation):

Understanding and applying sigma notation to represent and compute sums of series.


  • Convergent and Divergent Series:

Identifying when a series converges (approaches a finite limit) or diverges (does not approach a finite limit).


  • Binomial Theorem:

Exploring the expansion of (a + b)^n and solving problems involving binomial coefficients.


  • Infinite Series:

Studying infinite geometric series, telescoping series, and other infinite series concepts.


Equations To Score More in Practice Paper of JEE Main Sequences and Series

Equations are the base to solve the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out the Practice Paper of JEE Main Sequences and Series.


  • Arithmetic Sequence:

\[a_n = a_1 + (n-1)d\]


  • Sum of an Arithmetic Series:

\[S_n = \dfrac{n}{2} [2a_1 + (n-1)d]\]


  • Geometric Sequence:

\[a_n = a_1 \cdot r^{(n-1)}\]


  • Sum of a Geometric Series (finite):

\[S_n = \dfrac{a_1 \cdot (1 - r^n)}{1 - r}\]


  • Sum of an Infinite Geometric Series:

\[S_\infty = \dfrac{a_1}{1 - r} \quad \text{if } |r| < 1\]


  • Sum of a Series Using the nth Term:

\[S_n = \sum_{k=1}^{n} a_k\]


For more formulas and equations you can refer Vedantu’s JEE Main Formula page.


What Makes Vedantu’s Practice Paper PDF of JEE Main Sequences and Series Different?

The primary function of Practice Paper for JEE Main is to help students in exam preparation by offering questions mirroring the JEE Main exam pattern. Vedantu’s JEE Main Practice Papers serves as the ideal post-learning resource following each Maths chapter. Now, let’s explore the attributes of Vedantu’s Sequences and Series Practice Paper for JEE Main.


  • Quality Content: Vedantu's Practice Paper for Sequences and Series is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

  • Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from Sequences and Series, allowing students to thoroughly practice and master each topic.

  • Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Sequences and Series JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

  • User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

  • Accessibility: Vedantu's Practice Paper are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.


How To Prepare For JEE Main With Sequences and Series Practice Paper?

Vedantu’s Sequences and Series JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam.


  1. Download the Daily Practice Paper of JEE Main Sequences and Series.

  2. You can set a timer of 1 hour.

  3. Solve the easy questions first and give time for tough questions.

  4. Note your answers in a sheet of paper and check with the answer key.

  5. Each question carries 4 marks and give a negative mark of -1 for each questions.

  6. Now calculate the score and analyse yourself. 

  7. You can take the help of detailed solutions given in the PDF for the better clarity of questions and answers. 

  8. Learn how to do the incorrect answers and prcatice the questions again.

  9. Make a note of the time you taking for each question to practice. 


When to Start Preparing With JEE Main Practice Paper of Sequences and Series?

It's advisable to begin your JEE Main Practice Paper of Sequences and Series preparations early in your academic journey to ensure comprehensive subject mastery and sufficient time for revision, a critical factor for achieving success in the exams. Consider this timeline to make the most of your JEE Main preparation using Daily Practice Paper.


  • Foundation Building (1-2 Years Prior): Start with foundational studies and building a strong understanding of the core concepts in Sequences and Series.

  • Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating Practice Paper of JEE Main Sequences and Series into your routine. 

  • Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.


Additional Materials To cover With  JEE Main Sequences and Series Practice Paper

After learning with the Sequences and Series chapter, you need to make sure that you are mastering the contents you learn, so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision with the Sequences and Series you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.



Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Sequences and Series, you can test your online skills for JEE Main Maths. Vedantu is also providing you an online practice paper test where you can get a real experience of attempting JEE Main Exam.



Mastering Sequences and Series With JEE Main Practice Paper

The JEE Main Sequences and Series Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer key help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Sequences and Series Daily Practice Paper for FREE!


JEE Mains Sample Paper: Sequences and Series

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2026 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Sequences and Series chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.


With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

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FAQs on Practice Paper: Sequences and Series

1. What is the difference between a sequence and a series?

Sequences are ordered lists of numbers, while series represent the sum of the terms in a sequence.
Key differences include:

  • Sequence: Each number is called a term.
  • Series: The sum of sequence terms (e.g., arithmetic series, geometric series).
  • Sequences have an order; series focus on their total.
This distinction is vital for exam questions on progressions and summation.

2. What is the general formula for the nth term of an arithmetic progression (AP)?

The nth term of an arithmetic progression (AP) is found using the formula:
aₙ = a₁ + (n – 1)d

  • aₙ: nth term
  • a₁: first term
  • d: common difference
  • n: term number
This formula is essential for sequence and series exam problems.

3. How do you find the sum of the first n terms of a geometric progression (GP)?

The sum of the first n terms of a geometric progression (GP) is calculated by:
Sₙ = a₁(1 – rⁿ)/(1 – r) (when r ≠ 1)

  • Sₙ: sum of first n terms
  • a₁: first term
  • r: common ratio
  • n: number of terms
Use this formula for all GP sum calculations as per CBSE syllabus.

4. Define arithmetic mean and give its formula.

The arithmetic mean (AM) between two numbers is the average value, and is a crucial concept in sequences and statistics.

  • Formula: AM = (a + b)/2
  • It is the central value between a and b in an arithmetic sequence.
This is frequently asked in CBSE exams.

5. What are the important properties of geometric progression (GP)?

The key properties of geometric progression (GP) help in finding sums and terms:

  • Each term after the first is obtained by multiplying the previous term by a fixed common ratio (r).
  • If all terms of a GP are multiplied/divided by a non-zero constant, the new sequence is also a GP.
  • Product of equidistant terms from beginning and end is constant.
These concepts assist with fast problem solving in exams.

6. How do you identify if a sequence is an arithmetic progression?

A sequence is an arithmetic progression (AP) if the difference between consecutive terms is always the same.

  • Calculate common difference (d):
    d = a₂ – a₁, a₃ – a₂, etc.
  • If d remains constant, it’s an AP.
This check is essential in CBSE sequence-based questions.

7. What is the formula for the sum of the first n natural numbers?

The summation of the first n natural numbers uses the formula:
S = n(n + 1)/2

  • This is a fundamental result used for progressions, series calculations, and mathematical induction proofs.
  • Applicable for CBSE board and competitive exams.

8. State the applications of sequences and series in real life.

Sequences and series are widely used in various real-life situations:

  • Financial calculations like compound interest, EMI, annuities
  • Population growth and predictions
  • Engineering problems involving patterns and signals
  • Computer programming for loops and iterations
Understanding these helps relate their importance beyond exams.

9. What is the sum to infinity of a geometric series?

For a geometric series with a common ratio |r| < 1, the sum to infinity is:
S_∞ = a₁ / (1 – r)

  • a₁: first term
  • r: common ratio with |r| < 1
This formula is regularly asked in exams for infinite series.

10. If the nth term of a sequence is 2n + 3, find the 5th term.

To find the 5th term, substitute n = 5 into the formula:

  • nth term: aₙ = 2n + 3
  • a₅ = 2 × 5 + 3 = 13
This process applies to all term-finding problems in arithmetic sequences.

11. Explain the difference between finite and infinite series.

A finite series has a limited number of terms, while an infinite series continues endlessly.

  • Finite: Example – 1 + 2 + 3 + ... + 10
  • Infinite: Example – 1 + 1/2 + 1/4 + 1/8 + ...
This distinction is tested in theory as per CBSE sequence and series syllabus.