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Rooms on the floors of a building increase as (18,22,26,30,\ldots). What is the common difference?

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Answer and explanation

Correct answer: 4

The difference between consecutive terms is the same: \(22-18=4\), \(26-22=4\), and \(30-26=4\). Hence, this is an arithmetic progression with common difference \(4\). Although \(2\) is a possible number, it is not the difference between any two consecutive terms here. Exam tip: To find the common difference, subtract the first term from the second term.

Related tags

Arithmetic ProgressionCommon DifferenceClass 10 MathematicsSequenceAp Introduction

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

The difference between consecutive terms is the same: \(22-18=4\), \(26-22=4\), and \(30-26=4\). Hence, this is an arithmetic progression with common difference \(4\). Although \(2\) is a possible number, it is not the difference between any two consecutive terms here. Exam tip: To find the common difference, subtract the first term from the second term.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..

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