Important Practice Questions on Sequence and Series with Solutions
Sequence and Series is a high-weightage chapter in JEE Maths, featuring questions on progressions, general terms, and summation. Mastering concepts like AP, GP, and HP is essential for scoring in both single and combined questions. Take this mock test to reinforce your problem-solving speed and conceptual understanding for JEE Main 2025.
Mock Test Instructions for the Sequence And Series Mock Test 1:
- 20 questions from Sequence and Series
- Time limit: 20 minutes
- Single correct answer per question
- Correct answers appear in bold green after submission
How Can JEE Mock Tests Help You Master Sequence and Series?
- Pinpoint your weak areas in Arithmetic, Geometric, and Harmonic Progressions by simulating real JEE MCQs.
- Improve speed and accuracy with timed practice on nth term and sum formulas.
- Reinforce memory of crucial sequences and boost conceptual clarity with repeated question patterns.
- Identify common mistakes in summation techniques and boundary cases through instant feedback.
- Track performance across question types—AP, GP, HP, and general term problems.
Sharpen Your Progression Skills with Expert-Designed JEE Sequence and Series Mock Tests
- Practice previous year JEE patterns for Sequence and Series to forecast actual exam trends.
- Solve moderate to tricky sequence problems to boost ranks and exam confidence.
- Expose yourself to application-based sequence and summation scenarios with chapter-specific MCQs.
- Strengthen understanding of mixed progression conversions with carefully crafted questions.
- Master time management and avoid negative marking by attempting topic-specific timed mocks.
Subject-Wise Excellence: JEE Main Mock Test Links
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| 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 Mock Test for 2025 Exams
1. What is the difference between a sequence and a series?
Sequence is an ordered list of numbers following a specific pattern, while a series is the sum of the terms of a sequence. For example, the sequence 2, 4, 6, 8 represents numbers in order, but the series 2 + 4 + 6 + 8 shows their total sum. Both are important in topics like Arithmetic Progression (AP) and Geometric Progression (GP).
2. What are the important formulas for Arithmetic Progression (AP)?
Arithmetic Progression (AP) is a sequence where the difference between consecutive terms is constant. Key formulas include:
- nth term: an = a + (n - 1)d
- Sum of n terms: Sn = n/2 [2a + (n - 1)d]
Here, a is the first term, d is the common difference, and n is number of terms.
3. What defines a Geometric Progression (GP)?
Geometric Progression (GP) is a sequence where each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio (r). The nth term is an = arn–1 and the sum of n terms is Sn = a(1–rn)/(1–r) for r ≠ 1.
4. How do you find the sum of an infinite geometric series?
The sum to infinity of a geometric series with |r| < 1 is given by S = a / (1 – r), where a is the first term and r is the common ratio. This formula only applies if the absolute value of the common ratio is less than one.
5. What is the general term of a sequence?
The general term or nth term is a formula that lets you find any term in the sequence without listing all terms. For example, the nth term of an AP is a + (n – 1)d and for a GP it’s arn-1.
6. What are the main topics covered in Sequences and Series for JEE/Grade 11?
Main topics include: Types of sequences (AP, GP, HP), nth term and sum of n terms, special series, arithmetic mean, geometric mean, harmonic mean, finite and infinite series, and their applications in solving real-life and exam problems.
7. Explain harmonic progression (HP) with example.
Harmonic Progression (HP) is a sequence where reciprocals form an Arithmetic Progression (AP). For example, 1/2, 1/4, 1/6 is an HP since 2, 4, 6 is an AP. HP is used in problems involving rates and speeds.
8. How should I approach solving Sequence and Series MCQs in competitive exams?
To solve MCQs:
- Quickly identify the sequence or series type (AP, GP, HP)
- Write the required formula for nth term or sum
- Substitute known values
- Verify calculation and options efficiently
Practicing with timed tests improves both accuracy and speed in JEE and class 11/12 exams.
9. Where are sequences and series applied in real life?
Sequences and series are used in finance (installments, loans, investments), engineering (signal processing), computer science (algorithms), and nature (growth patterns, population models). Understanding patterns and summing values are widely applicable in practical situations.
10. How can I check if a given sequence is an AP, GP, or neither?
Check the sequence:
- If the difference between consecutive terms is constant, it’s an AP
- If the ratio between consecutive terms is constant, it’s a GP
- If neither holds, check if the reciprocals form an AP for HP. If none, it may be a different or mixed progression.
11. What types of questions are commonly asked in Sequence and Series tests?
Common questions include finding nth term, sum of terms, identifying progression types, solving missing term problems, word problems using AP/GP/HP, and special series sums. Practice with mock tests helps in mastering exam patterns and time management.
12. What resources can help me practice Sequence and Series for competitive exams?
To boost your preparation, use online mock tests, practice worksheets, previous years’ papers, video lectures, and topic-wise quizzes on trusted platforms like Vedantu. These resources help cover all types of questions and improve conceptual understanding.
