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If [n^(3)+(n+1)^(3)+(n+2)^(3)] is also d...

If `[n^(3)+(n+1)^(3)+(n+2)^(3)]` is also divisible by 9. then show that, `[(n+1)^(3)+(n+2)^(3)+(n+3)^(3)]` is also divisible by 9.

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CHHAYA PUBLICATION-MATHEMATICAL INDUCTION -Exercise
  1. If (15^(2n-1)+1) is divisible by 16, then show that (15^(2n+1)+1) is a...

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  2. If [12^(n)+25^(n-1)] is divisible by 13, then show that [12^(n+1)+25^(...

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  3. If [n^(3)+(n+1)^(3)+(n+2)^(3)] is also divisible by 9. then show that,...

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  4. If ninN,xgt-1 and (1+x)^(n)ge1+nx, then prove that (1+x)^(n+1)ge1+(n+1...

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  5. Let f(n)=n(n+1)(2n+1), if f(n) is always divisible ny 6 then prove tha...

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  6. For all ninNN, prove by principle of mathematical induction that, 1+...

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  7. For all ninNN, prove by principle of mathematical induction that, a+...

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  8. For all ninNN, prove by principle of mathematical induction that, si...

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  9. For all ninNN, prove by principle of mathematical induction that, si...

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  10. For all ninNN, prove by principle of mathematical induction that, (c...

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  11. For all ninNN, prove by principle of mathematical induction that, (1...

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  12. For all ninNN, prove by principle of mathematical induction that, a+...

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  13. For all ninNN, prove by principle of mathematical induction that, 1^...

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  14. For all ninNN, prove by principle of mathematical induction that, 1*...

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  15. For all ninNN, prove by principle of mathematical induction that, 2^...

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  16. For all ninNN, prove by principle of mathematical induction that, (1...

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  17. For all ninNN, prove by principle of mathematical induction that, (1...

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  18. For all ninNN, prove by principle of mathematical induction that, (1...

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  19. For all ninNN, prove by principle of mathematical induction that, 1+...

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  20. For all ninNN, prove by principle of mathematical induction that, 1*...

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