Mathematics · JEE

Important Questions: Arithmetic and Geometric progressions for JEE

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The most important Arithmetic and Geometric progressions questions for JEE cover conceptual traps, standard results, and numerical patterns from Arithmetic and Geometric progressions. Goodmarks provides 80+ high-yield MCQs with full solutions.

Focus on what matters most. These important Arithmetic and Geometric progressions questions cover high-weightage concepts from Arithmetic and Geometric progressions — the topics JEE repeats every year.

Syllabus context

Part of Sequence and Series in JEE Main Mathematics.

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Q1MathsUnit 6: Sequence and Series

Which of the following options is not a series?

Q2MathsUnit 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?

Q3MathsUnit 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

Q4MathsUnit 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?

Q5MathsUnit 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-

Q6MathsUnit 6: Sequence and Series

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

Q7MathsUnit 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.

Q8MathsUnit 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}

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Frequently asked questions

What makes a Arithmetic and Geometric progressions 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. 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.