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A student writes the nth term of the arithmetic progression 18, 14, 10, ... as \(18-4n\). Which expression correctly fixes the error?

Answer and explanation

Correct answer: \(18-4(n-1)\)

Here \(a=18\) and \(d=-4\). Using \(a_n=a+(n-1)d\) gives \(18-4(n-1)\). The expression \(18-4n\) gives 14 when \(n=1\), not the first term 18. Exam tip: always test a proposed nth-term rule with \(n=1\).

Related tags

Arithmetic ProgressionNth TermCommon DifferenceAlgebraic ExpressionsError AnalysisSequences And ProgressionsMathematicsClass 9 Mcq

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