Which sequence is an arithmetic progression with (d=0.25)?कौन-सा अनुक्रम (d=0.25) वाली समांतर श्रेढ़ी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (0.25,0.5,0.75,1.0,\ldots)(0.25,0.5,0.75,1.0,\ldots)
In option B, the difference between consecutive terms is constant: \(0.5-0.25=0.25\), \(0.75-0.5=0.25\), and \(1.0-0.75=0.25\). Therefore, it is an AP with \(d=0.25\). Option A has common difference \(0.5\), while option C does not have a constant difference. Exam tip: To identify an AP, check the difference between every pair of consecutive terms.विकल्प B में क्रमागत पदों का अंतर समान है: \(0.5-0.25=0.25\), \(0.75-0.5=0.25\) और \(1.0-0.75=0.25\)। अतः यह \(d=0.25\) वाली समांतर श्रेढ़ी है। विकल्प A का सार्वांतर \(0.5\) है, जबकि विकल्प C में अंतर समान नहीं है। परीक्षा टिप: AP पहचानने के लिए हर दो क्रमागत पदों का अंतर जाँचें।
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