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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.

Related tags

Arithmetic ProgressionCommon DifferenceZero DifferenceClass 10Number SequencesIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)

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