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If (a_n=10-3n), which term will be (-44)?

Answer and explanation

Correct answer: 18th term

Given \(a_n=10-3n\), set the required term equal to \(-44\): \(-44=10-3n\). Thus, \(-54=-3n\), so \(n=18\). Therefore, \(-44\) is the 18th term of the AP. The 17th term is \(a_{17}=10-51=-41\), so it is not correct. Exam tip: To find a term number, equate the given value to \(a_n\) and solve for \(n\).

Related tags

Arithmetic ProgressionNth TermLinear SequenceClass 10 MathematicsTerm NumberFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)

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