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Prove that, 1^2 + 2^2 + …..+ n^2 gt (n^3...

Prove that, `1^2 + 2^2 + …..+ n^2 gt (n^3)/(3) , n in N`

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P(n) : 1^(2) + 2^(2) + 3^(2) + .......+ n^(2) = n/6(n+1) (2n+1) n in N is true then 1^(2) +2^(2) +3^(2) + ........ + 10^(2) = .......

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NCERT GUJARATI-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE - 4.1
  1. Prove that, 1^2 + 2^2 + …..+ n^2 gt (n^3)/(3) , n in N

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  2. Prove the following by using the principle of mathematical induction f...

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  3. Prove the following by using the principle of mathematical induction f...

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  4. Prove the following by using the principle of mathematical induction f...

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  5. Prove the following by using the principle of mathematical induction f...

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  6. Prove the following by using the principle of mathematical induction f...

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  7. Prove the following by using the principle of mathematical induction f...

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  8. Prove the following by using the principle of mathematical induction f...

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  9. Prove the following by using the principle of mathematical induction f...

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  10. Prove the following by using the principle of mathematical induction f...

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  11. Prove the following by using the principle of mathematical induction f...

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  12. Prove the following by using the principle of mathematical induction f...

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  13. Prove the following by using the principle of mathematical induction f...

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  14. Prove the following by using the principle of mathematical induction f...

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  15. Prove the following by using the principle of mathematical induction f...

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  16. Prove the following by using the principle of mathematical induction f...

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  17. Prove the following by using the principle of mathematical induction f...

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  18. Prove the following by using the principle of mathematical induction f...

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  19. Prove the following by using the principle of mathematical induction f...

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  20. Prove the following by using the principle of mathematical induction f...

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  21. Prove the following by using the principle of mathematical induction f...

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