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Prove the following by the principle of mathematical induction:`\ (a b)^n=a^n b^n` for all `n in Ndot`

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RD SHARMA ENGLISH-MATHEMATICAL INDUCTION-All Questions
  1. Prove the following by the principle of mathematical induction:\ 5^(...

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  2. Prove the following by the principle of mathematical induction:\ 3^...

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  3. Prove the following by the principle of mathematical induction:\ (a...

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  4. Prove the following by using the principle of mathematical induction ...

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  5. Prove the following by the principle of mathematical induction:\ 7^...

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  6. Prove the following by the principle of mathematical induction:\ 2. ...

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  7. Prove the following by the principle of mathematical induction:\ 11...

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  8. Prove the following by the principle of mathematical induction: n^3...

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  9. Prove the following by the principle of mathematical induction:\ 1+2...

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  10. Prove the following by the principle of mathematical induction: 7+77...

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  11. Prove the following by the principle of mathematical induction: (n^7...

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  12. Prove the following by the principle of mathematical induction:(n^(1...

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  13. Prove the following by the principle of mathematical induction: 1/2tan...

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  14. Prove the following by the principle of mathematical induction: (1-1...

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  15. Prove the following by the principle of mathematical induction: ((2...

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  16. Prove the following by the principle of mathematical induction: \ x^...

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  17. Prove that: \ sin x+sin3x++sin(2n-1)x=(sin^2\ \ n x)/(sin x) for all n...

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  18. Given a1=1/2(a0+A/(a0)), a2=1/2(a1+A/(a1)) and a(n+1)=1/2(an+A/(an)) ...

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  19. Let P(n) be the statement: 2^n >= 3n. If P(r) is true, show that P (r...

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  20. The distributive law from algebra states that for all real numbers c,a...

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