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Find the (14)th term of the AP (5,14,23,32,\ldots).एपी (5,14,23,32,\ldots) का (14)वाँ पद ज्ञात कीजिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 122122
The first term is \(a=5\) and the common difference is \(d=14-5=9\). The \(n\)th term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_{14}=5+(14-1)\times 9=5+117=122\). Hence, 122 is correct. Getting 124 would result from an arithmetic error. Exam tip: use \(n-1\), not \(n\), when finding the \(n\)th term.इस एपी में प्रथम पद \(a=5\) तथा सार्वांतर \(d=14-5=9\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{14}=5+(14-1)\times 9=5+117=122\)। इसलिए सही उत्तर 122 है। 124 प्राप्त करना एक गणना-त्रुटि होगी। परीक्षा टिप: \(n\)वाँ पद निकालते समय \(n-1\) का प्रयोग करें, \(n\) का नहीं।
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