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Class 10 Mathematics Arithmetic Progressions (AP)Finding the $n$th term of an APHard

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Which is the correct nth-term formula for an AP whose first term is 14 and each successive term is 3 less than the preceding term?

Answer and explanation

Correct answer: \(a_n=17-3n\)

Here, \(a=14\) and \(d=-3\). Thus \(a_n=a+(n-1)d=14-3(n-1)=17-3n\). In option B, putting \(n=1\) gives 11, not 14. Exam tip: always verify the first term.

Related tags

Arithmetic Progression Nth Term Common Difference Linear Sequence Class 10 Mathematics Finding The $N$Th Term Of An Ap Finding The N Th Term Of An Ap Arithmetic Progressions (Ap)

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