Which sequence is an arithmetic progression with (d=-2)?
Answer and explanation
Correct answer: (18, 16, 14, 12, \ldots)
In an arithmetic progression, the difference between consecutive terms must remain constant. In option B, \(16-18=-2\), \(14-16=-2\), and \(12-14=-2\), so its common difference is \(d=-2\). Option A has a difference of \(+2\), the terms in option C are doubling, and option D has differences \(-2,-3,-4\). Exam tip: subtract each term from the next one and check whether the difference is constant.
Frequently asked questions
What is the correct answer to this question?
(18, 16, 14, 12, \ldots)
Why is this the correct answer?
In an arithmetic progression, the difference between consecutive terms must remain constant. In option B, \(16-18=-2\), \(14-16=-2\), and \(12-14=-2\), so its common difference is \(d=-2\). Option A has a difference of \(+2\), the terms in option C are doubling, and option D has differences \(-2,-3,-4\). Exam tip: subtract each term from the next one and check whether the 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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