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