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If (u-8, u-2, u+4,\ldots) is an arithmetic progression, what is (d)?यदि (u-8, u-2, u+4,\ldots) अंकगणितीय श्रेणी है, तो (d) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(6\)\(6\)
In an arithmetic progression, the common difference is the difference between consecutive terms. Here, \((u-2)-(u-8)=6\) and \((u+4)-(u-2)=6\). Thus, 6 is added to each successive term, so \(d=6\). \(u+6\) may be a next term, not the common difference. Exam tip: quickly check \(d=a_2-a_1\).अंकगणितीय श्रेणी में सार्व अंतर क्रमागत पदों का अंतर होता है। यहाँ \((u-2)-(u-8)=6\) तथा \((u+4)-(u-2)=6\) है। अतः प्रत्येक क्रमागत पद में \(6\) जुड़ रहा है, इसलिए \(d=6\)। \(u+6\) अगला पद हो सकता है, सार्व अंतर नहीं। परीक्षा टिप: \(d=a_2-a_1\) से तुरंत जाँच करें।
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