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What is the (12)th term of the AP (100,90,80,70,\ldots)?एपी (100,90,80,70,\ldots) का (12)वाँ पद क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -10-10
In this AP, the first term is \(a=100\) and the common difference is \(d=90-100=-10\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_{12}=100+(12-1)(-10)=100-110=-10\). Option 0 is the 11th term, as it uses only 10 common differences from the first term. Exam tip: for the \(n\)th term, use \(n-1\), not \(n\), differences.इस एपी में प्रथम पद \(a=100\) तथा सार्वांतर \(d=90-100=-10\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{12}=100+(12-1)(-10)=100-110=-10\)। विकल्प 0, 11वाँ पद है, क्योंकि वहाँ प्रथम पद से केवल 10 अंतर लिए जाते हैं। परीक्षा टिप: \(n\)वाँ पद निकालते समय \(n\) नहीं, \(n-1\) अंतर जोड़ें।
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