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Prove that by using the principle of ma...

Prove that by using the principle of mathematical induction for all `n in N`:
`1.3+3.5+5.7+....+(2n-1)(2n+1)= (n(4n^(2)+6n-1))/(3)`

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NCERT TAMIL-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE - 4.1
  1. Prove that by using the principle of mathematical induction for all n...

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

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

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

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

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

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

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

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

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

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

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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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