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If (a_n=4n+r) and (a_{15}=83), what is (a_{41})?यदि (a_n=4n+r) और (a_{15}=83) है तो (a_{41}) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 187187
Given \(a_n=4n+r\). Substituting \(n=15\), \(83=4\times15+r=60+r\), so \(r=23\). Hence, \(a_{41}=4\times41+23=164+23=187\). Therefore, option C is correct. The value \(183\) would result from using an incorrect value of \(r\). Exam tip: first find the unknown constant from the given term, then substitute the required value of \(n\).दिया है कि \(a_n=4n+r\)। \(n=15\) रखने पर \(83=4\times15+r=60+r\), अतः \(r=23\)। इसलिए \(a_{41}=4\times41+23=164+23=187\)। विकल्प C सही है। \(183\) प्राप्त करने के लिए \(r\) का मान गलत लेना पड़ेगा। परीक्षा टिप: पहले दिए गए पद से अज्ञात नियतांक \(r\) ज्ञात करें, फिर अपेक्षित \(n\) का मान रखें।
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