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In the sequence (-8,-3,2,7,\ldots), what are (a) and (d) respectively?

Answer and explanation

Correct answer: \(-8,\ 5\)

In an AP, \(a\) is the first term, so \(a=-8\). The common difference is the difference between consecutive terms: \(d=-3-(-8)=5\). Therefore, \((a,d)=(-8,5)\). The option \((-8,-5)\) results from an incorrect sign while subtracting a negative number. Exam tip: write \(d=a_2-a_1\) and use brackets around negative terms.

Related tags

Arithmetic ProgressionFirst TermCommon DifferenceIntegersNegative NumbersIntroduction To Aps And Common Difference.Introduction To Aps And Common DifferenceArithmetic Progressions (Ap)

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