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Which of the following sequences is an arithmetic progression but not a geometric progression?निम्नलिखित में से कौन-सा क्रम अंकगणितीय प्रगति है, लेकिन गुणोत्तर प्रगति नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(3,7,11,15,\ldots\)\(3,7,11,15,\ldots\)
In option A, consecutive differences are \(7-3=11-7=15-11=4\), so it is an AP. Its ratios are not constant, hence it is not a GP. Exam tip: check differences before ratios.विकल्प A में क्रमागत पदों का अंतर \(7-3=11-7=15-11=4\) है, इसलिए यह AP है। अनुपात समान नहीं है, अतः GP नहीं। परीक्षा में पहले अंतर जाँचें, फिर अनुपात।
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