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In the sequence (50,45,40,35,\ldots), how much less is each term than the previous term?अनुक्रम (50,45,40,35,\ldots) में प्रत्येक पद पिछले पद से कितना कम है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 55
Find the differences between consecutive terms: \(45-50=-5\) and \(40-45=-5\). Thus, each term is 5 less than the preceding term, and the common difference is \(-5\). Since the question asks how much less, the answer is 5 rather than \(-5\). Exam tip: “how much less” gives the positive magnitude of the decrease, whereas the common difference is negative.क्रमागत पदों का अंतर निकालें: \(45-50=-5\), \(40-45=-5\)। इसलिए हर अगला पद पिछले पद से 5 कम है और समान अंतर \(-5\) है। पूछा गया है कि कितना कम है, इसलिए उत्तर 5 है, न कि \(-5\)। परीक्षा-युक्ति: ‘कितना कम’ धनात्मक कमी बताता है, जबकि सार्व अंतर का चिह्न ऋणात्मक होता है।
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