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Find the (13)th term of the AP (50,47,44,41,\ldots).

Answer and explanation

Correct answer: 14

The first term of this AP is 50 and the common difference is \(d=47-50=-3\). Using \(a_n=a+(n-1)d\), \(a_{13}=50+(13-1)(-3)=50-36=14\). Therefore, 14 is correct. The answer 11 can result from counting 13 differences instead of \(n-1\) differences. Exam tip: for the \(n\)th term of an AP, always use \(n-1\) common differences.

Related tags

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

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