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Find the (12)th term of the AP (7,11,15,19,\ldots).समांतर श्रेढ़ी (7,11,15,19,\ldots) का (12)वाँ पद ज्ञात कीजिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 5151
In this AP, the first term is \(a=7\) and the common difference is \(d=11-7=4\). The \(n\)th term is \(a_n=a+(n-1)d\). Therefore, \(a_{12}=7+(12-1)\times4=7+44=51\). Hence, 51 is correct. The number 55 is not the 12th term; it would be the 13th term. Exam tip: always use \(n-1\) in the formula for the \(n\)th term.इस समांतर श्रेणी में प्रथम पद \(a=7\) और सार्वांतर \(d=11-7=4\) है। \(n\)वाँ पद \(a_n=a+(n-1)d\) होता है। अतः \(a_{12}=7+(12-1)\times4=7+44=51\)। इसलिए सही उत्तर 51 है। 55 अगला पद नहीं है, क्योंकि वह \(13\)वाँ पद होगा। परीक्षा टिप: \(n\)वें पद के सूत्र में \(n-1\) अवश्य लें।
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