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If (a=6) and (d=8), what is the (12)th term?यदि (a=6) और (d=8) है तो (12)वाँ पद क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(94\)\(94\)
The \(n\)th term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_{12}=6+(12-1)\times 8=6+88=94\). Hence, \(94\) is correct. \(96\) would result from adding 12 common differences, but only 11 differences are added to reach the 12th term. Exam tip: always use \((n-1)d\) for the \(n\)th term.समांतर श्रेणी का \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{12}=6+(12-1)\times 8=6+88=94\)। इसलिए सही उत्तर \(94\) है। \(96\) तब मिलता यदि 12 अंतर जोड़े जाते, जबकि 12वें पद तक केवल 11 अंतर जुड़ते हैं। परीक्षा टिप: \(n\)वें पद के लिए हमेशा \((n-1)d\) लें।
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