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Using mathematical induction prove that `10^(2n-1)+1` is divisible by 11 for all `n in N`

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Using mathematical induction prove that x^(2n)-y^(2n) is divisible by x+y for all n in N

(a)Prove that 3^(2n)-1 is divisible by 8.

Using the principle of Mathematical induction,prove that 10^(2n-1)+1 is divisible by 11.

Using mathematical induction prove that 41^n-14^n is a multiple of 27 for all n in N

Using principle of mathematical induction prove that n(n+1)(n+5) is a multiple of 3 for all n in N .

By mathematical induction prove that the statement 3^(4n+1)+2^(2n+2) is divisible by 7 is true for all n in N

Using mathematical induction prove that (2n+7) lt (n+3)^2 for all n in N

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Prove 'that 10^n+3 xx 4^(n+2)+5 is divisible by 9 .

A N EXCEL PUBLICATION-PRINCIPLE OF MATHEMATICL INDUCTION-QUESTION BANK
  1. For all nge1,prove that 1+2+3+……+nlt1/8(2n+1)^2

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  2. Using principle of mathematical induction prove that n(n+1)(n+5) is a ...

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  3. Using mathematical induction prove that 10^(2n-1)+1 is divisible by 1...

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  4. Using mathematical induction prove that x^(2n)-y^(2n) is divisible by ...

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  5. Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Prove ...

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  6. Using mathematical induction prove that 41^n-14^n is a multiple of 2...

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  7. Using mathematical induction prove that (2n+7) lt (n+3)^2 for all n in...

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  8. Consider the statement P(n):2^(3n) -1 is divisible by 7 Is the state...

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  9. Consider the statement P(n):2^(3n) -1 is divisible by 7 If p(k) is t...

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  10. Let P(n) be the statement "n+3" is prime. Is P(3) true? What is your...

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  11. Let P(n) denotes the statement 10^(2n-1)+1 is divisible by 11. If P(m)...

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  12. Using mathematical induction prove that 1^3+2^3+3^3+.....+n^3=[(n(n+1)...

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  13. Let P(n) : n(n+1)(n+2) is divisible by 6. Determine whether the statem...

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  14. Let P(n) denotes the statement 2^n gt n and if P(n) is true, show that...

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  15. Show that x^n-1 is divisible by x-1

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  16. Let P(n) denotes the statement '3^n gt 2^n'. Is P(1) true?

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  17. By using mathematical induction prove that 1+4+7+...+(3n-2)=(n(3n-1))/...

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  18. For all nge1, prove that 1.2.3+2.3.4+......+n(n+1)(n+2)=(n(n+1)(n+2)(n...

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  19. For all nge1, prove that 1/1.3+1/3.5+1/5.7+......+1/((2n-1)(2n+1))=n...

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  20. Let P(n) denotes the statement n^3+(n+1)^3+(n+2)^3 is a multiple of 9 ...

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