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If \(a_n=9\left(\frac{1}{3}\right)^{n-1}\), what is \(a_3\)?यदि \(a_n=9\left(\frac{1}{3}\right)^{n-1}\) है, तो \(a_3\) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(1\)\(1\)
For the third term, substitute \(n=3\): \(a_3=9\left(\frac{1}{3}\right)^{3-1}=9\left(\frac{1}{3}\right)^2=9\times\frac{1}{9}=1\). The option \(3\) results from incorrectly using the exponent as 1. Exam tip: after substituting the term number in \(a_n\), calculate \(n-1\) first.तीसरे पद के लिए \(n=3\) रखें: \(a_3=9\left(\frac{1}{3}\right)^{3-1}=9\left(\frac{1}{3}\right)^2=9\times\frac{1}{9}=1\)। \(3\) विकल्प तब मिलता है जब घात को गलती से 1 लिया जाए। परीक्षा टिप: \(a_n\) में पद संख्या रखने के बाद पहले \(n-1\) की गणना करें।
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