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What is the common difference of (72,64,56,48,\ldots)?

Answer and explanation

Correct answer: -8

To find the common difference, subtract a term from the term immediately after it. Here, \(64-72=-8\) and \(56-64=-8\), so each successive term decreases by 8. Therefore, the common difference is \(-8\). The number \(8\) is only the magnitude of the decrease, not the common difference. Exam tip: use \(d=a_2-a_1\); if the terms decrease, \(d\) is negative.

Related tags

Arithmetic ProgressionCommon DifferenceSequenceClass 10 MathematicsNegative DifferenceIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)

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