Which statement is correct about the arithmetic progression (4,4,4,4,\ldots)?
Answer and explanation
Correct answer: Its common difference is \(d=0\).
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \(4-4=0\), so the difference between every pair of consecutive terms is \(0\), and hence \(d=0\). If \(d=4\), each next term would increase by 4. Exam tip: Find the common difference using second term − first term.
Frequently asked questions
What is the correct answer to this question?
Its common difference is \(d=0\).
Why is this the correct answer?
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \(4-4=0\), so the difference between every pair of consecutive terms is \(0\), and hence \(d=0\). If \(d=4\), each next term would increase by 4. Exam tip: Find the common difference using second term − first 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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