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The (6)th term of an AP is (23) and the common difference is (5). What is the first term?एक समान्तर श्रेणी का (6)वां पद (23) और सार्व अंतर (5) है। पहला पद क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -2-2
For an AP, the sixth term is \(a_6=a+5d\). Thus, \(23=a+5(5)=a+25\), so \(a=-2\). If the first term were 2, the sixth term would be \(2+25=27\), so that option is incorrect. Exam tip: in the \(n\)th-term formula, the coefficient of \(d\) is always \(n-1\).समान्तर श्रेणी में छठा पद \(a_6=a+5d\) होता है। अतः \(23=a+5(5)=a+25\), इसलिए \(a=-2\)। विकल्प 2 लेने पर छठा पद \(2+25=27\) आएगा, इसलिए वह सही नहीं है। परीक्षा टिप: \(n\)वां पद निकालते समय \(d\) का गुणांक हमेशा \(n-1\) होता है।
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