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If (3, x, y, 24) are consecutive terms of an arithmetic progression, what is the value of (x+y)?

Answer and explanation

Correct answer: (27)

There are three equal gaps, so (d=\frac{24-3}{3}=7), hence (x=10) and (y=17). For two missing terms, split the total difference into equal gaps.

Related tags

ApMissing Two TermsEqual GapsHardIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)Arithmetic Progressions Ap

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