Another Matematical Induction Problem

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Homework Help Overview

The discussion revolves around a mathematical induction problem concerning the equation 1/(n(n+1)) = n/(n+1) for all positive integers. Participants are examining the validity of this statement and its implications for induction.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to prove the statement by induction, starting with the base case of n=1 and seeking to establish the case for n+1. Other participants question the validity of the statement itself, suggesting checking specific cases like n=5, and pointing out potential errors in the equation's formulation.

Discussion Status

The discussion is active, with participants raising concerns about the correctness of the original equation. A counterexample has been provided, indicating that the equation may not hold for all positive integers. There is a suggestion that the original poster may need to clarify the problem statement.

Contextual Notes

Participants note potential issues with the equation, including missing parentheses, which may affect its validity. There is an emphasis on ensuring the problem is stated correctly before proceeding with the proof.

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Homework Statement



Prove by incuction that for all positive intergers 1/(n(n+1)=(n/(n+1)


Homework Equations





The Attempt at a Solution



I have proved this is true for n=1. I need to find a way to set the equation for n+1
 
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does it holds for all positive integer?
can you check for some case like positive integer 5 .

[tex]\frac{1}{5(5+1)}\neq\frac{5}{5+1}[/tex]
 
SeattleScoute said:

Homework Statement



Prove by incuction that for all positive intergers 1/(n(n+1)=(n/(n+1)


Homework Equations





The Attempt at a Solution



I have proved this is true for n=1. I need to find a way to set the equation for n+1
Are you sure you have given us the problem exactly as stated. icystrike gave a counterexample to show that the equation above isn't generally true.
 
Note that you are missing two closing parentheses, that suggests something can be wrong with the equation.
 

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