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If the AP is (4,9,14,19,\ldots), what is the (16)th term?यदि एपी (4,9,14,19,\ldots) है तो (16)वाँ पद क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(79\)\(79\)
Here, the first term is \(a=4\) and the common difference is \(d=9-4=5\). The \(n\)th term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_{16}=4+(16-1)\times5=4+75=79\). Hence, \(79\) is correct. \(81\) would be obtained for the \(17\)th term, not the \(16\)th term. Exam tip: always use \(n-1\) in the formula for the \(n\)th term.इस एपी में प्रथम पद \(a=4\) और सार्वांतर \(d=9-4=5\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{16}=4+(16-1)\times5=4+75=79\)। इसलिए सही उत्तर \(79\) है। \(81\) तब मिलता यदि \(16\) के स्थान पर \(17\)वाँ पद लिया जाता। परीक्षा टिप: \(n\)वें पद के सूत्र में \(n-1\) का प्रयोग करना न भूलें।
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