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If (a=80), (d=-5), and (n=14), find (a_n).

Answer and explanation

Correct answer: 15

The nth term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_{14}=80+(14-1)(-5)=80-65=15\). Hence, 15 is correct. A common error is to get 20 by using 12 instead of \(n-1\). Exam tip: Keep a negative \(d\) in brackets while multiplying.

Related tags

Arithmetic ProgressionNth TermAp FormulaClass 10Negative Common DifferenceFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)

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