Mathematics · JEE

Arithmetic and Geometric progressions Concepts for JEE

63+ syllabus-aligned questions available

Quick answer

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

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

Concept explainer

Arithmetic and Geometric progressions is a core JEE Main Mathematics subtopic under Sequence and Series. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

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

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

Common trap

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

Syllabus context

Part of Sequence and Series in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 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

Q2MathsUnit 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?

Q3MathsUnit 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-

Q4MathsUnit 6: Sequence and Series

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

Q5MathsUnit 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.

Q6MathsUnit 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}

Q7MathsUnit 6: Sequence and Series

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

Q8MathsUnit 6: Sequence and Series

Let

a_{n}

be an A.P. for which

d=8

and

a_{2}=12 .

Find

a_{1}

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Frequently asked questions

What concepts in Arithmetic and Geometric progressions are essential for JEE?

Focus on core ideas across Arithmetic and Geometric progressions. JEE tests application, not just memorisation.