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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`:`1^3+2^3+3^3+...........+n^3=((n(n+1))/2)^2`

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To prove:- `p(n)=1^3+2^3+3^3+.............+n^3=[n^(2)*(n+1)^2​]/4`
let `n=1`
for `n=1 `
L.H.S=R.H.S ...
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NCERT ENGLISH-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE 4.1
  1. Prove the following by using the principle of mathematical induction ...

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

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  3. Prove by the principal of mathematcal induction that for all n in N. ...

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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:\ n(...

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

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  7. Prove the following by using the principle of mathematical inductio...

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

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

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  10. Prove by the principle of induction that for all n N ,\ (10^(2n-1)+1)...

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

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  12. Prove the following by the principle of mathematical induction: 1+3...

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

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  14. Using the principle of mathematical induction, prove that 1+1/(1+2)+...

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

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  16. Using the principle of mathematical induction prove that : 1. 3+2. 3^...

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

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

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

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

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