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Which option correctly gives the first term and common difference of the AP whose nth term is \(a_n=5-2n\)?

Answer and explanation

Correct answer: First term \(3\), common difference \(-2\)

Rewrite \(5-2n\) as \(3+(n-1)(-2)\), which matches \(a+(n-1)d\). Thus \(a=3\) and \(d=-2\). Option B wrongly treats the constant 5 as the first term. Exam tip: compare with the standard form first.

Related tags

Arithmetic ProgressionNth TermFirst TermCommon DifferenceClass 10 MathematicsFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)

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