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If every next term is (9) more than the previous term, what is the common difference?

Answer and explanation

Correct answer: 9

The common difference of an arithmetic progression is the difference between consecutive terms: \(d=a_{n+1}-a_n\). Since each next term is 9 greater than the previous term, \(d=9\). Option D is incorrect because it represents decreasing terms. Exam tip: “that much more each time” gives a positive common difference, while “that much less” gives a negative one.

Related tags

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

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