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The (n)th-term formula of the AP (19,26,33,\ldots) is (a_n=7n+12). What is the (41)st term?

Answer and explanation

Correct answer: 299

The given formula is \(a_n=7n+12\). For the \(41\)st term, substitute \(n=41\): \(a_{41}=7\times41+12=287+12=299\). Therefore, the correct answer is \(299\). A choice such as \(294\) may result from an arithmetic error. Exam tip: substitute the given value of \(n\) directly into the formula for \(a_n\).

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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