Proven Strategies to Ace Sequence and Series in JEE Main Mock Tests
Sequence and Series is a highly significant chapter in JEE Main Maths, forming the foundation for advanced algebraic reasoning and problem-solving. Mastering topics like Arithmetic Progression (AP), Geometric Progression (GP), Harmonic Progression (HP), and related sum and nth term formulas is crucial for scoring well. Take this focused mock test to strengthen your understanding and gain the confidence needed to tackle Sequence and Series questions in the real exam.
Mock Test Instructions for the Sequence and Series Mock Test 1-2:
- 20 questions from Sequence and Series Mock Test 1-2
- Time limit: 20 minutes
- Single correct answer per question
- Correct answers appear in bold green after submission
How Can JEE Mock Tests Help You Excel in Sequence and Series?
- Mock tests simulate real exam pressure for Sequence and Series JEE questions.
- They help you master AP, GP, HP, and important nth term and sum formulas.
- Identify weak areas across Sum to n terms, means, and progression transformation problems.
- Track your improvement in error reduction and question-solving within the time limit.
- Get instant feedback on common Sequence and Series conceptual traps for better revision.
Boost Your Sequence and Series Problem-Solving with Vedantu’s JEE Mock Tests
- Practice expert-designed MCQs mapped to NTA JEE Main Sequence and Series syllabus.
- Enhance speed and accuracy in calculating nth terms and sum of series.
- Focus on pattern-based and previous years’ type questions from this chapter.
- Analyze solutions to master AP, GP, and HP transitions quickly.
- Use analytics to fine-tune your last-minute revision and boost overall JEE Maths ranking.
Subject-Wise Excellence: JEE Main Mock Test Links
| S.No. | Subject-Specific JEE Main Online Mock Tests |
|---|---|
| 1 | Online FREE Mock Test for JEE Main Chemistry |
| 2 | Online FREE Mock Test for JEE Main Maths |
| 3 | Online FREE Mock Test for JEE Main Physics |
Important Study Materials Links for JEE Exams
FAQs on Sequence and Series JEE Main 2025-26 Mock Test Practice
1. What is the difference between a sequence and a series?
Sequence is an ordered list of numbers that follow a particular pattern, whereas a Series is the sum of the terms of a sequence. For example, the sequence 2, 4, 6, 8... is an Arithmetic Sequence, and 2 + 4 + 6 + 8... is the corresponding Arithmetic Series.
2. What are the main types of sequences studied in class 11 or for JEE?
Arithmetic Progression (AP), Geometric Progression (GP), and Harmonic Progression (HP) are the three main types of sequences. Others include Fibonacci Sequence and special sequences like recurrence relations.
3. How do you find the nth term of an Arithmetic Progression?
The nth term (an) of an Arithmetic Progression is calculated as:
an = a + (n-1)d
where a is the first term and d is the common difference.
4. How do you calculate the sum of the first n terms of an Arithmetic Series?
The sum of first n terms (Sn) of an Arithmetic Series is given by:
Sn = n/2 [2a + (n-1)d] or Sn = n/2 (a + l), where l is the last term.
5. What is the formula for the nth term and sum of a Geometric Progression?
For a Geometric Progression (GP), the nth term is an = arn-1, and the sum of the first n terms is Sn = a(1 - r^n)/(1 - r) for r ≠ 1. Here, a is the first term and r is the common ratio.
6. How are harmonic progressions (HP) defined?
Harmonic Progression (HP) is a sequence in which the reciprocals of the terms form an Arithmetic Progression. For example, 1/2, 1/4, 1/6... is an HP since 2, 4, 6... is an AP.
7. What is the general term of a sequence?
The general term of a sequence, often denoted as an, represents the nth term. Its formula depends on the type of sequence (AP, GP, etc.). For an AP: an = a + (n-1)d, and for a GP: an = arn-1.
8. What is the sum to infinity of a geometric series?
If |r| < 1, the sum to infinity of a Geometric Series is S = a/(1 - r), where a is the first term and r is the common ratio.
9. How do you identify whether a sequence is increasing or decreasing?
For an Arithmetic Sequence: If the common difference d > 0, the sequence is increasing; if d < 0, it is decreasing.
For a Geometric Sequence: If r > 1, it is increasing; if 0 < r < 1, it is decreasing. Check the sign and values of d or r to determine monotonicity.
10. How are sequences and series applied in real life or competitive exams?
Sequences and series are essential concepts in topics like compound interest, population growth, probability, and mathematical modeling. In exams like JEE, questions often test logical patterns, calculation of terms, and sum concepts.
11. How do you use recurrence relations to define sequences?
A recurrence relation expresses each term of a sequence as a function of its preceding terms. For example, the Fibonacci Sequence is defined by an = an-1 + an-2, with given initial terms.
12. What topics are covered under Sequences and Series for Class 11 / JEE?
Important topics include:
- Types of sequences: AP, GP, HP
- nth term formulas
- Sum of series formulas
- Arithmetic Mean (AM), Geometric Mean (GM), Harmonic Mean (HM)
- Recurrence relations
- Application-based problems
These topics form a key part of the Class 11 and JEE syllabus.
