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If (a+3d-a=27) in (a, a+d, a+2d, a+3d), what is (d)?

Answer and explanation

Correct answer: 9

Given \(a+3d-a=27\), the \(a\) terms cancel, giving \(3d=27\). Hence, \(d=9\). There are three equal common-difference gaps from the first term \(a\) to the fourth term \(a+3d\), so the total difference is \(3d\). If \(d=8\), then \(3d=24\), not 27. Exam tip: The difference between the first term and the \(n\)th term of an AP is \((n-1)d\).

Related tags

Arithmetic ProgressionCommon DifferenceGeneral TermAp BasicsLinear EquationsIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)

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