Mathematics · JEE

Important Questions: Sequence and Series for JEE

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The most important Sequence and Series questions for JEE cover conceptual traps, standard results, and numerical patterns from Arithmetic and Geometric progressions, Insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M. Goodmarks provides 80+ high-yield MCQs with full solutions.

Focus on what matters most. These important Sequence and Series questions cover high-weightage concepts from Arithmetic and Geometric progressions, Insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M — the topics JEE repeats every year.

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Subtopics in Sequence and Series

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Q1MathsUnit 6: Sequence and Series

Which of the following options is not a series?

Q2MathsUnit 6: Sequence and Series

If the ratio of HM and GM of two quantities is

12: 13,

then the ratio of the number is ?

Q3MathsUnit 6: Sequence and Series

A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age, so that when they attain maturity at

18,

the amount received by each of them at 5 per cent simple interest will be the same. Find the sum allotted at present to each son?

Q4MathsUnit 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

Q5MathsUnit 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?

Q6MathsUnit 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-

Q7MathsUnit 6: Sequence and Series

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

Q8MathsUnit 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.

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Frequently asked questions

What makes a Sequence and Series question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Sequence and Series are high-weightage?

Key areas include Arithmetic and Geometric progressions, Insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

Can I practise only important questions on Goodmarks?

Pro users can filter by unit and subtopic to target high-yield areas. Free users can attempt sample questions on this page.