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What is the (21)st term of the AP (0,5,10,15,\ldots)?एपी (0,5,10,15,\ldots) का (21)वाँ पद क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 100100
In this AP, the first term is \(a=0\) and the common difference is \(d=5\). The \(n\)th term is \(a_n=a+(n-1)d\). Thus, \(a_{21}=0+(21-1)\times5=100\). Therefore, the correct answer is 100. Note that 95 is the 20th term. Exam tip: Use \(n-1\) gaps, not \(n\), when finding the \(n\)th term.इस एपी में प्रथम पद \(a=0\) और सार्वांतर \(d=5\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{21}=0+(21-1)\times5=100\)। इसलिए सही उत्तर 100 है। 95, 20वाँ पद होगा। परीक्षा टिप: \(n\)वें पद के लिए \(n-1\) अंतराल गिनें, \(n\) नहीं।
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