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For all nge1,prove that 1+2+3+……+nlt1/...

For all `nge1`,prove that
`1+2+3+……+nlt1/8(2n+1)^2`

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A N EXCEL PUBLICATION-PRINCIPLE OF MATHEMATICL INDUCTION-QUESTION BANK
  1. Using mathematical induction prove that 1/(1.4)+1/(4.7)+1/(7.10)+......

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  2. Using mathematical induction prove that 1/(3.5)+1/(5.7)+1/(7.9)+.......

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  3. For all nge1,prove that 1+2+3+……+nlt1/8(2n+1)^2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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