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In the sequence (9,16,23,30,\ldots), what is the value of (a+2d)?

Answer and explanation

Correct answer: 23

In this AP, the first term is \(a=9\) and the common difference is \(d=16-9=7\). Therefore, \(a+2d=9+2\times7=23\). It is also the third term, since the third term of an AP is \(a+2d\). Option 30 is the fourth term, \(a+3d\), so it is not correct. Exam tip: The \(n\)th term of an AP is \(a+(n-1)d\).

Related tags

Arithmetic ProgressionCommon DifferenceThird TermAp FormulaClass 10 MathematicsIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)

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