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If (a=9) and (d=0), what will be the first three terms?

Answer and explanation

Correct answer: (9, 9, 9)

The nth term of an arithmetic progression is \(a_n=a+(n-1)d\). Here, \(a=9\) and \(d=0\), so the second term is \(9+0=9\) and the third term is \(9+2\times0=9\). Therefore, the first three terms are \((9,9,9)\). Option B would represent a common difference of \(-9\), not 0. Exam tip: when the common difference is zero, every term of the AP equals the first term.

Related tags

Arithmetic ProgressionsCommon DifferenceFirst Three TermsZero DifferenceIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)Arithmetic Progressions Ap

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