Rows of seats in a class increase as (12,14,16,18,\ldots). What is the common difference of this arrangement?
Answer and explanation
Correct answer: 2
In an arithmetic progression, the common difference is the difference between two consecutive terms. Here, \(14-12=2\) and \(16-14=2\), so the common difference is 2. Option 4 is incorrect because it is the difference between the first and third terms, not consecutive terms. Exam tip: subtract each term from the term immediately after it to find the common difference.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
In an arithmetic progression, the common difference is the difference between two consecutive terms. Here, \(14-12=2\) and \(16-14=2\), so the common difference is 2. Option 4 is incorrect because it is the difference between the first and third terms, not consecutive terms. Exam tip: subtract each term from the term immediately after it to find the common difference.
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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