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Prove the following by the principle of mathematical induction:`\ 7^(2n)+2^(3n-3). 3^(n-1)` is divisible 25 for all `n in Ndot`

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NAGEEN PRAKASHAN ENGLISH-PRINCIPLE OF MATHEMATICAL INDUCTION-Exercise 4
  1. " if " a^(1) =a,a^(r+1) =a^(r).a " prove that :" (ab)^(n) =a^(n)b^(n...

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  2. By the principle of mathematical induction prove that 3^(2^(n))-1, is ...

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

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

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

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  6. Using the principle of mathematical induction ,prove that (1+x)^ngeq(1...

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  7. Using binomial theorem, prove that 2^(3n)-7n-1 is divisible by 49 , wh...

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  8. 1+1/(1+2)+1/(1+2+3)+1/(1+2+3+n)=(2n)/(n+1)

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  9. Using the principle of mathematical induction, prove that : 1. 2. 3+2...

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  10. Using the principle of mathematical induction, prove that : 1. 2. 3+2...

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  11. 1.3+2.3^2+3.3^3+..............+n.3^n=((2n-1)3^(n+1)+3)/4

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  12. Prove by PMI that 1.2+ 2.3+3.4+....+ n(n+1) =((n)(n+1)(n+2))/3, AA n i...

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  13. 1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^2+6n-1))/3

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

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  15. Prove the following by the principle of mathematical induction:1/2+...

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  16. Prove the following by the principle of mathematical induction:1/(2...

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  17. Using the principle of mathematical induction prove that 1/(1. 2. ...

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

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

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

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