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Prove the following by using the princip...

Prove the following by using the principle of mathematical induction for all `n in N` :- `a + ar + ar^2+...+ ar^(n-1)=(a(r^n-1))/(r-1)`.

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MODERN PUBLICATION-MATHEMATICAL INDUCTION-EXERCISE
  1. By the Principle of Mathematical Induction, prove the following for al...

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

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

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

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

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

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

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

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

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

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  18. Prove by Induction, for all n in N : 2^n >n.

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  19. Prove by Induction, for all n in N : 2^n < 3^n.

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

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