Which of the following sequences is an arithmetic progression?
Answer and explanation
Correct answer: (5,9,13,17,\ldots)
In an arithmetic progression, the difference between every pair of consecutive terms is constant. In option C, \(9-5=4\), \(13-9=4\), and \(17-13=4\). Hence, its common difference is \(4\), so it is an AP. In option B, the differences are \(3,5,7\), which are not equal. Exam tip: To identify an AP, quickly check consecutive differences.
Frequently asked questions
What is the correct answer to this question?
(5,9,13,17,\ldots)
Why is this the correct answer?
In an arithmetic progression, the difference between every pair of consecutive terms is constant. In option C, \(9-5=4\), \(13-9=4\), and \(17-13=4\). Hence, its common difference is \(4\), so it is an AP. In option B, the differences are \(3,5,7\), which are not equal. Exam tip: To identify an AP, quickly check consecutive differences.
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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