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If an AP has (a=2.5), (d=2.5), and (n=10), what is (a_n)?यदि किसी एपी में (a=2.5), (d=2.5) और (n=10) है तो (a_n) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(25\)\(25\)
The \(n\)th term of an AP is \(a_n=a+(n-1)d\). Thus, \(a_{10}=2.5+(10-1)\times2.5=2.5+22.5=25\). Hence, the correct answer is \(25\). The value \(27.5\) would result from incorrectly using \(10d\) instead of \((10-1)d\). Exam tip: Always use \((n-1)\) in the formula for the \(n\)th term.एपी का \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{10}=2.5+(10-1)\times2.5=2.5+22.5=25\)। इसलिए सही उत्तर \(25\) है। \(27.5\) तब मिलता यदि \(n\) के स्थान पर गलती से \(10d\) जोड़ा जाए। परीक्षा टिप: \(n\)वें पद के सूत्र में हमेशा \((n-1)\) लिखें।
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