If the arithmetic progression is (x,x+4,x+8,x+12,\ldots), what is the common difference?
Answer and explanation
Correct answer: \(4\)
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \((x+4)-x=4\) and \((x+8)-(x+4)=4\), so the common difference is \(4\). \(8\) is the difference between the first and third terms, not between consecutive terms. Exam tip: subtract consecutive terms to find the common difference.
Frequently asked questions
What is the correct answer to this question?
\(4\)
Why is this the correct answer?
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \((x+4)-x=4\) and \((x+8)-(x+4)=4\), so the common difference is \(4\). \(8\) is the difference between the first and third terms, not between consecutive terms. Exam tip: subtract consecutive terms 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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