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What is the (11)th term in the AP (9,6,3,0,\ldots)?एपी (9,6,3,0,\ldots) में (11)वाँ पद क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(-21\)\(-21\)
In this AP, the first term is \(a=9\) and the common difference is \(d=6-9=-3\). Using \(a_n=a+(n-1)d\), we get \(a_{11}=9+(11-1)(-3)=9-30=-21\). \(-18\) is the 10th term, so it is a close but incorrect option. Exam tip: always use \(n-1\), not \(n\), in the nth-term formula.इस एपी में प्रथम पद \(a=9\) और सार्वांतर \(d=6-9=-3\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) से \(a_{11}=9+(11-1)(-3)=9-30=-21\) होगा। \(-18\) 10वाँ पद है, इसलिए वह निकटतम लेकिन गलत विकल्प है। परीक्षा टिप: \(n\)वें पद के सूत्र में \(n-1\) लिखना न भूलें।
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