Question
Download Solution PDFনিম্নলিখিত সারণির প্রথম 25টি পদের যোগফল হবে:
7, 11, 15, 19, 23, …
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
সারণি = 7, 11, 15, 19, 23, …
অনুসৃত সূত্র:
Sn = n / 2 × {2a + (n - 1) × d}; যেখানে n= পদের সংখ্যা, d = সাধারণ পার্থক্য, a = প্রথম পদ, Sn = n পদের যোগফল; d = (a2 - a1); a2 = A.P. এর দ্বিতীয় পদ, a1 = A.P এর প্রথম পদ
গণনা:
উক্ত সূত্রটি ব্যবহার করে আমরা পাই, d = 4
⇒ S25 = 25 / 2 × {2 × 7 + (25 - 1) × 4}
⇒ S25 = 55 × 25
⇒ S25 = 1375
25টি পদের নির্ণেয় যোগফল = 1375
সুতরাং, সঠিক উত্তরটি হল 1375
Last updated on Jul 17, 2025
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