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By the principle of mathematic induction...

By the principle of mathematic induction, prove that, for `n ge 1`,
`1^(2) + 2^(2) + 3^(2) + …+n^(2) gt n^(3)/3`

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NCERT TAMIL-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE - 4.1
  1. By the principle of mathematic induction, prove that, for n ge 1, 1^(2...

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  2. By the principle of mathematical induction, prove that, for nge1 1^(3)...

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  3. Find the value of ""^6P4

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  4. Prove that by using the principle of mathematical induction for all n...

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  5. By the principal of mathematic induction, prove that, for nge1 1.2 + 2...

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  6. Prove that by using the principle of mathematical induction for all n...

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  8. Prove that by using the principle of mathematical induction for all n...

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  9. Using the mathematical induction, show that for any natural number n, ...

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  10. Using the mathematical induction, show that for any natural number n, ...

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  11. a+ar+ar^(2)+......+ar^(n-1)=(a(r^(n)-1))/(r-1)

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  12. Use the principle of mathematical induction to prove that for every na...

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  13. Prove that by using the principle of mathematical induction for all n...

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  14. Prove that by using the principle of mathematical induction for all n...

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  15. Prove that by using the principle of mathematical induction for all n...

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  16. Prove that by using the principle of mathematical induction for all n...

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  17. Prove that by using the principle of mathematical induction for all n...

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  18. Prove that by using the principle of mathematical induction for all n...

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  19. Prove that by using the principle of mathematical induction for all n...

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  20. Prove that by using the principle of mathematical induction for all n...

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  21. Prove that by using the principle of mathematical induction for all n...

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