Which sequence has common difference (-4)?
Answer and explanation
Correct answer: (20, 16, 12, 8, \ldots)
The common difference of an arithmetic progression is the difference between consecutive terms. In option B, \(16-20=-4\), \(12-16=-4\), and \(8-12=-4\), so its common difference is \(-4\). In options A and D, 4 is added each time, while the differences in option C are not constant. Exam tip: subtract each term from the next one and check whether the difference remains the same.
Frequently asked questions
What is the correct answer to this question?
(20, 16, 12, 8, \ldots)
Why is this the correct answer?
The common difference of an arithmetic progression is the difference between consecutive terms. In option B, \(16-20=-4\), \(12-16=-4\), and \(8-12=-4\), so its common difference is \(-4\). In options A and D, 4 is added each time, while the differences in option C are not constant. Exam tip: subtract each term from the next one and check whether the difference remains the same.
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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