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If a new sequence (3^2, 7^2, 11^2,\ldots) is formed from (3, 7, 11,\ldots), what type will the new sequence be?यदि (3, 7, 11,\ldots) से नया अनुक्रम (3^2, 7^2, 11^2,\ldots) बनाया जाए, तो नया अनुक्रम कैसा होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Not an arithmetic progression because differences are not equalअंकगणितीय श्रेणी नहीं क्योंकि अंतर समान नहीं हैं
The new terms are (9,49,121), and the differences are (40,72), which are not equal. Squaring generally does not preserve an arithmetic progression.नए पद (9,49,121) हैं और अंतर (40,72) हैं, जो समान नहीं हैं। वर्ग करने से सामान्यतः अंकगणितीय श्रेणी सुरक्षित नहीं रहती।
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