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What is the common difference of the arithmetic progression (54,48,42,36,\ldots)?समांतर श्रेढ़ी (54,48,42,36,\ldots) का सार्व अंतर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -6-6
The common difference of an AP is the difference between two consecutive terms: \(d=a_2-a_1=48-54=-6\). Thus, each next term is 6 less than the previous term, so \(-6\) is correct. \(6\) gives only the magnitude of the difference, not its correct sign. Exam tip: always calculate common difference as second term minus first term.समांतर श्रेढ़ी का सार्व अंतर लगातार दो पदों का अंतर होता है: \(d=a_2-a_1=48-54=-6\)। इसलिए प्रत्येक अगला पद 6 कम हो रहा है, अतः सही उत्तर \(-6\) है। \(6\) केवल अंतर का परिमाण है, उसका सही चिन्ह नहीं। परीक्षा टिप: सार्व अंतर निकालते समय हमेशा दूसरा पद − पहला पद लिखें।
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