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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+ 2.3^(2)+ 3.3.^(3)+ ....+ n.3^(n)= ((2n-1)3^(n+1)+3)/(4)`

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NCERT TAMIL-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE - 4.1
  1. By the principle of mathematical induction, prove that, for nge1 1^(3)...

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  2. Find the value of ""^6P4

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

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

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

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

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

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

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

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

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

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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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