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3^(2n+2)-8n-9 is divisible by...

`3^(2n+2)-8n-9` is divisible by

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Statement -I , 3^(2n+2)-8n-9 is divisible be 64 , (AAn in NN) Syatement - II : (1+x)^(n)-nx-1 is divisible by x^(2),(AAn inNN)

By ........in "Principle of Mathematical Induction" prove that for all n in N 3^(2n+2)-8n-9 is divisible 64

Prove the following by the principle of mathematical induction: \ 3^(2n+2)-8n-9 is divisible 8 for all n in Ndot

By using mathematical induction prove that 3^(2n)-8n-1 is divisible by 64 when n is an integer.

Use binomial theorem to show that if nge1 is an integer then , (a) 11^(n)-10n-1 is divisible by 100 (b) 3^(2n)-8n-1 is divisible by 64.

Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integer.

Show that if nge1 is an integer, then 9^(n+1)-8n-9 is divisible by 64.

If n (> 1)is a positive integer, then show that 2^(2n)- 3n - 1 is divisible by 9.

Prove that , 2^(2n)-3n-1 is divisible by 9 for all positive intergral values of n greater than 1 .

If n is a positive integer (gt1) ,show that , 3^(2n+2)-8n-9 is always divisible by 64.

CHHAYA PUBLICATION-MATHEMATICAL INDUCTION -Exercise
  1. For all ninNN, prove by principle of mathematical induction that, 12...

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  2. For what natural numbers n the inequality 2^(n)gt2n+1 is valid ?

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  3. 3^(2n+2)-8n-9 is divisible by

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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