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Which of the following formulas represents the \(n\)th term of an AP in which each successive term decreases by 3?

Answer and explanation

Correct answer: \(a_n=12-3n\)

In an AP, \(a_{n+1}-a_n\) must be constant. For option A, \((12-3(n+1))-(12-3n)=-3\), so every next term decreases by 3. Option B increases instead. Exam tip: check the coefficient of \(n\) in a linear term formula.

Related tags

Arithmetic ProgressionNth TermCommon DifferenceLinear SequenceAp FormulaFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)

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