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What is the (16)th term of the AP (21,19,17,15,\ldots)?एपी (21,19,17,15,\ldots) का (16)वाँ पद क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(-9\)\(-9\)
In this AP, the first term is \(a=21\) and the common difference is \(d=19-21=-2\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_{16}=21+(16-1)(-2)=21-30=-9\). \(-7\) is the next term, i.e. the \(17\)th term. Exam tip: for the \(n\)th term, use \(n-1\) differences, not \(n\).इस एपी में प्रथम पद \(a=21\) और सार्वांतर \(d=19-21=-2\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{16}=21+(16-1)(-2)=21-30=-9\)। \(-7\) अगला पद होगा, अर्थात \(17\)वाँ पद। परीक्षा टिप: \(n\)वें पद के लिए हमेशा \(n-1\) अंतर लें, \(n\) नहीं।
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