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The (n)th-term formula of the AP (23,31,39,\ldots) is (a_n=8n+15). What is the (36)th term?

Answer and explanation

Correct answer: 303

The given formula is \(a_n=8n+15\). Substituting \(n=36\), we get \(a_{36}=8\times36+15=288+15=303\). Therefore, 303 is the correct answer. Getting 301 would indicate an error in multiplication or addition. Exam tip: In an AP nth-term formula, directly substitute the required term number for \(n\).

Related tags

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

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