Which sequence is an arithmetic progression with (d=0)?
Answer and explanation
Correct answer: \(8,8,8,8,\ldots\)
In an arithmetic progression, the difference between consecutive terms is constant. In option B, \(8-8=0\), and every consecutive difference is \(0\); therefore, its common difference is \(d=0\). Options A and C have common differences \(1\) and \(-2\), respectively, while the differences in option D are not constant. Exam tip: subtract each term from the next one to check whether the common difference is constant.
Frequently asked questions
What is the correct answer to this question?
\(8,8,8,8,\ldots\)
Why is this the correct answer?
In an arithmetic progression, the difference between consecutive terms is constant. In option B, \(8-8=0\), and every consecutive difference is \(0\); therefore, its common difference is \(d=0\). Options A and C have common differences \(1\) and \(-2\), respectively, while the differences in option D are not constant. Exam tip: subtract each term from the next one to check whether the common difference is constant.
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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