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Which sequence has a common difference?कौन सा क्रम समान अंतर वाला है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (5, 9, 13, 17)(5, 9, 13, 17)
In the sequence (5, 9, 13, 17), the differences between consecutive terms are 9−5=4, 13−9=4, and 17−13=4. Hence, its common difference is 4, so it is an arithmetic sequence. In (1, 3, 6, 10), the differences are 2, 3, and 4, which are not equal. Exam tip: subtract consecutive terms to check for a common difference.क्रम (5, 9, 13, 17) में क्रमागत पदों के अंतर हैं: 9−5=4, 13−9=4 और 17−13=4। इसलिए इसका समान अंतर 4 है और यह अंकगणितीय क्रम है। विकल्प (1, 3, 6, 10) में अंतर 2, 3, 4 हैं, जो समान नहीं हैं। परीक्षा टिप: समान अंतर जाँचने के लिए प्रत्येक दो क्रमागत पदों का घटाव करें।
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