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Prove that by 1.2+2.3+3.4+…..+n(n+1)=(n(...

Prove that by `1.2+2.3+3.4+…..+n(n+1)=(n(n+1)(n+2))/3` by using the principle of mathematical induction for all `n in N`.

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A N EXCEL PUBLICATION-PRINCIPLE OF MATHEMATICL INDUCTION-QUESTION BANK
  1. 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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  2. Using mathematical induction prove 1cdot3+2cdot3^2+3cdot3^3+.....+ncdo...

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  3. Prove that by 1.2+2.3+3.4+…..+n(n+1)=(n(n+1)(n+2))/3 by using the prin...

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  4. Using mathematical induction prove that 1cdot3+3cdot5+5cdot7+.....+(...

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  5. Using mathematical induction prove that 1cdot2+2cdot2^2+......+ncdot...

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  6. Using the principal of Mathematical induction, prove that 1/2+1/4+1/...

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  7. Using mathimatical induction prove that 1/(2.5)+1/(5.8)+1/(8.11)+......

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  8. Using mathematical induction prove that 1/(1.2.3)+1/(2.3.4)+......+1...

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  9. Consider the following statement: P(n):a+ar+ar^2+……+ar^(n-1)=(a(r^n-...

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  10. Using mathematical induction prove that (1+3/1)(1+5/4)(1+7/9)......(...

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  11. Using mathematical induction prove that (1+1/1)(1+1/2)(1+1/3)......(...

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  12. Using mathematical induction prove that 1^2+3^2+5^2+.....+(2n-1)^2=(...

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  13. Using mathematical induction prove that 1/(1.4)+1/(4.7)+1/(7.10)+......

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

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

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

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

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

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

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

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