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If ninNN, then by principle of mathemati...

If `ninNN`, then by principle of mathematical induction prove that,
`7+77+777+ . . .` to n terms `=(7)/(81)(10^(n+1)-9n-10)`.

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CHHAYA PUBLICATION-MATHEMATICAL INDUCTION -Exercise
  1. If ninNN, then by principle of mathematical induction prove that, 3^...

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  2. If ninNN, then by principle of mathematical induction prove that, 3^...

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  3. If ninNN, then by principle of mathematical induction prove that, 7+...

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  4. If ninNN, then by principle of mathematical induction prove that, 1+...

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  5. If ninNN, then by principle of mathematical induction prove that, 1^...

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  6. If ninNN, then by princuple of mathematical induction prove that, (1...

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  7. If ninNN, then by princuple of mathematical induction prove that, (n...

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  8. If ninNN, then by princuple of mathematical induction prove that, n*...

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  9. If ninNN, then by principle of mathematical induction prove that, Pr...

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  10. If ninNN, then by principle of mathematical induction prove that, Us...

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  11. If ninNN, then by princuple of mathematical induction prove that, 2+...

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  12. If ninNN, then by principle of mathematical induction prove that, .^...

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  13. If x and are two real numbers, then prove by mathematical induction th...

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  14. By induction method prove that, (a^(n)+b^(n)) is divisible by (a+b) wh...

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  15. If ninNN and (2*1+1)+(2*2+1)+(2*3+1)+ . . .+(2*n+1)=n^(2)+2n+5 is tr...

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  16. Prove by induction method that n(n^(2)-1) is divisible by 24 when n is...

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  17. Find the positive integer n for which the inequality 2^(n)gtn^(2) is ...

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  18. Prove by the method of mathematica induction that for all ninNN,3^(2n)...

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  19. Prove by induction that 5^(n+1)+4*6^(n) when divided by 20 leaves the ...

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  20. Prove by induction that 2^(2^(n))+1 has 7 in unit's place for all nge2...

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