Mathematics · JEE

Sequence and Series Concepts for JEE

69+ syllabus-aligned questions available

Quick answer

Master Sequence and Series by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Sequence and Series before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Concept overview for Sequence and Series covering 3 JEE syllabus subtopics including Arithmetic and Geometric progressions, Insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M.

Key points

Understand the definition and scope of Arithmetic and Geometric progressions in the JEE syllabus
Memorise key formulas and standard results linked to Arithmetic and Geometric progressions
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions
Understand the definition and scope of Insertion of arithmetic, geometric means between two given numbers in the JEE syllabus
Memorise key formulas and standard results linked to Insertion of arithmetic, geometric means between two given numbers
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Arithmetic and Geometric progressions with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Arithmetic and Geometric progressions and reattempt after 48 hours
Revise Insertion of arithmetic, geometric means between two given numbers with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Insertion of arithmetic, geometric means between two given numbers and reattempt after 48 hours

Common trap

Students often rush Arithmetic and Geometric progressions questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

JEE Formula Sheet

45+ important formulas for Sequence and Series

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Subtopics in Sequence and Series

View Sequence and Series formula sheet — 45+ JEE formulas

Free sample questions

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Q1MathsUnit 6: Sequence and Series

If the ratio of HM and GM of two quantities is

12: 13,

then the ratio of the number is ?

Q2MathsUnit 6: Sequence and Series

The value of a machine depreciates at the rate of

10 \%

every year. it was purchased 3 years ago. If its present value is Rs. 8748 , its purchase price was

Q3MathsUnit 6: Sequence and Series

Ms. Kyle deposits an amount of Rs. 15400 to obtain a simple interest at the rate of

12.5 \%

for 4 years. What total amount will Ms. Kyle get at the end of 4 years?

Q4MathsUnit 6: Sequence and Series

Sum of nine terms of the series

\log a+

\log \frac{a^{2}}{b}+\log \frac{a^{3}}{b^{2}}+\log \frac{a^{4}}{b^{3}}+\ldots . . i s-

Q5MathsUnit 6: Sequence and Series

Which one of the following numbers is not a complete cube? 64,216,343,256

Q6MathsUnit 6: Sequence and Series

A man saved RS. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after.

Q7MathsUnit 6: Sequence and Series

Which term of the sequence

\mathbf{3}, \mathbf{8}, \mathbf{1 3}, \mathbf{1 8}, \dots \dots . .

\mathbf{4 9 8}

Q8MathsUnit 6: Sequence and Series

Find the number of triplets of integers in arithmetic progression, the sum of whose squares is 1994

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Frequently asked questions

What concepts in Sequence and Series are essential for JEE?

Focus on core ideas across Arithmetic and Geometric progressions, Insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M. JEE tests application, not just memorisation.