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Let U1=1,\ U2=1\ a n d\ U(n+2)=U(n+1)+Un...

Let `U_1=1,\ U_2=1\ a n d\ U_(n+2)=U_(n+1)+U_n for\ngeq1.` use mathematical induction to show that: `U_n=1/(sqrt(5)){((1+sqrt(5))/2)^n-\ ((1-sqrt(5))/2)^n}\ for\ a l l\ ngeq1.`

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RD SHARMA ENGLISH-MATHEMATICAL INDUCTION-All Questions
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  2. prove that cosalpha\ cos2alpha\ cos4alpha......cos(2^(n-1)alpha)=(si...

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

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

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  5. Prove the following by the principle of mathematical induction: 1^2...

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

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

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

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

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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 the principle of mathematical induction: \ 1...

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  14. Prove the following by the principle of mathematical induction: 2+5...

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

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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: a+(a...

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

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