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Prove by the principle of mathematical i...

Prove by the principle of mathematical induction that for all `n in N :\ ` `1/(1. 3)+1/(3.5)+1/(5.7)++1/((2n-1)(2n+1))=n/(2n+1)`

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RD SHARMA ENGLISH-MATHEMATICAL INDUCTION-All Questions
  1. If P(n) is the statement n^2-n+41 is prime. Prove that P(1),\ P(2)a n ...

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  2. Given an example of a statement P(n) which is true for all ngeq4 but P...

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  3. Prove by the principle of mathematical induction that for all n in N...

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  4. Using principle of mathematical induction prove that x^(2n)-y^(2n) i...

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

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  6. Prove by induction that 4+8+12++4n=2n(n+1) for all n Ndot

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  7. prove that cosalpha\ cos2alpha\ cos4alpha......cos(2^(n-1)alpha)=(si...

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  8. Let U1=1,\ U2=1\ a n d\ U(n+2)=U(n+1)+Un for\ngeq1. use mathematical i...

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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: 1^2...

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

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  12. Using the principle of mathematical induction, prove that 1/(1*2)...

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

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

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

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

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  17. Prove the following by the principle of mathematical induction: 1/(3...

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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: 2+5...

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

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