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The (12)th term of an AP is (71) and the common difference is (5). What is the first term?किसी समान्तर श्रेणी का (12)वां पद (71) और सार्व अंतर (5) है। पहला पद क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1616
For an AP, \(a_n=a+(n-1)d\). Thus, \(71=a+11\times5\), so \(a=71-55=16\). If 18 were taken as the first term, the 12th term would be \(18+11\times5=73\), not 71. Exam tip: use \((n-1)\), not \(n\), in the formula for the nth term.समान्तर श्रेणी में \(a_n=a+(n-1)d\) होता है। अतः \(71=a+11\times5\), इसलिए \(a=71-55=16\)। विकल्प 18 लेने पर 12वाँ पद \(18+11\times5=73\) आएगा, जो गलत है। परीक्षा टिप: \(n\)वाँ पद निकालते समय \((n-1)\) का प्रयोग करें, \(n\) का नहीं।
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