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By the Principle of Mathematical Inducti...

By the Principle of Mathematical Induction, prove the following 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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MODERN PUBLICATION-MATHEMATICAL INDUCTION-EXERCISE
  1. Prove the following by using the principle of mathematical induction f...

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  2. By the Principle of Mathematical Induction, prove the following for al...

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  3. By the Principle of Mathematical Induction, prove the following for al...

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  4. By the Principle of Mathematical Induction, prove the following for al...

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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. By the Principle of Mathematical Induction, prove the following for al...

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  10. By the Principle of Mathematical Induction, prove the following for al...

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  11. By the Principle of Mathematical Induction, prove the following for al...

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

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  13. By the Principle of Mathematical Induction, prove the following for al...

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

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  15. By the Principle of Mathematical Induction, prove the following for al...

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  16. By the Principle of Mathematical Induction, prove the following for al...

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  17. By the Principle of Mathematical Induction, prove the following for al...

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  18. By the Principle of Mathematical Induction, prove the following for al...

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  19. By the Principle of Mathematical Induction, prove the following for al...

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  20. By the Principle of Mathematical Induction, prove the following for al...

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