Question
Download Solution PDFযদি 12 + 22 + 32 + ....... + 142 = 1015 হয়, তাহলে 32 + 62 + 92 + ...... + 422 কত এর সমান হবে?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
⇒ 12 + 22 + 32 + ....... + 142 = 1015
গণনা:
⇒ 12 + 22 + 32 + ....... + 142 = 1015
উভয় পক্ষকে 9 দ্বারা গুণ করার পর,
⇒ 9 × (12 + 22 + 32 + ....... + 142 ) = 9 × 1015
⇒ 9 × 12 + 9 × 22 + 9 × 32 + ....... + 9 × 142 = 9 × 1015
∴ 32 + 62 + 92 + ...... + 422 = 9135
Last updated on Jun 27, 2025
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