Question
Download Solution PDF12 + 22 + 32 + ....... + 142 = 1015 என்றால், 32 + 62 + 92 + ...... + 422 க்குச் சமமானது
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
⇒ 12 + 22 + 32 + ....... + 142 = 1015
கணக்கீடு:
⇒ 12 + 22 + 32 + ....... + 142 = 1015
இருபுறமும் 9 ஆல் பெருக்கவும்,
⇒ 9 × (12 + 22 + 32 + ....... + 142 ) = 9 × 1015
⇒ 9 × 12 + 9 × 22 + 9 × 32 + ....... + 9 × 142 = 9 × 1015
⇒ 32 × 12 + 32 × 22 + 32 × 32 + ....... + 32 × 142 = 9 × 1015
∴ 32 + 62 + 92 + ...... + 422 = 9135
Last updated on Jul 4, 2025
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