Question
Download Solution PDF1 2 + 2 2 + 3 2 + ....... + 14 2 = 1015 అయితే, 3 2 + 6 2 + 9 2 + ...... + 42 2 సమానం
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన:
⇒ 1 2 + 2 2 + 3 2 + ....... + 14 2 = 1015
లెక్కింపు:
⇒ 1 2 + 2 2 + 3 2 + ....... + 14 2 = 1015
రెండు వైపులా 9 ద్వారా గుణించండి,
⇒ 9 × (1 2 + 2 2 + 3 2 + ....... + 14 2 ) = 9 × 1015
⇒ 9 × 1 2 + 9 × 2 2 + 9 × 3 2 + ....... + 9 × 14 2 = 9 × 1015
⇒ 3 2 × 1 2 + 3 2 × 2 2 + 3 2 × 3 2 + ....... + 3 2 × 14 2 = 9 × 1015
∴ 3 2 + 6 2 + 9 2 + ...... + 42 2 = 9135
Last updated on Jul 4, 2025
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