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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.

Related tags

Arithmetic ProgressionsCommon DifferenceIdentifying ApClass 10Introduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)Arithmetic Progressions Ap

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