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What is the (8)th term in the AP (72,66,60,54,\ldots)?एपी (72,66,60,54,\ldots) में (8)वाँ पद क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 3030
For this AP, the first term is \(a=72\) and the common difference is \(d=66-72=-6\). The \(n\)th term is \(a_n=a+(n-1)d\). Hence, \(a_8=72+(8-1)(-6)=72-42=30\). Therefore, 30 is correct. The number 36 is the sixth term, not the eighth term. Exam tip: use the common difference \(n-1\) times to find the \(n\)th term.इस एपी में प्रथम पद \(a=72\) और सार्वांतर \(d=66-72=-6\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_8=72+(8-1)(-6)=72-42=30\)। इसलिए सही उत्तर 30 है। 36, छठा पद है, आठवाँ पद नहीं। परीक्षा टिप: \(n\)वाँ पद निकालते समय \(n-1\) बार सार्वांतर जोड़ें या घटाएँ।
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