Another Matematical Induction Problem

  • Thread starter Thread starter SeattleScoute
  • Start date Start date
  • Tags Tags
    Induction
AI Thread Summary
The discussion centers on proving the equation 1/(n(n+1)) = n/(n+1) for all positive integers using mathematical induction. A participant confirmed the equation holds for n=1 but struggled to extend it to n+1. Another contributor pointed out a counterexample with n=5, demonstrating that the equation does not hold universally. Additionally, there was a suggestion that the original problem statement might be incorrect due to missing parentheses. The conversation highlights the importance of verifying the accuracy of mathematical statements before attempting proofs.
SeattleScoute
Messages
2
Reaction score
0

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
 
Physics news on Phys.org
Welcome to physicsforums(=

does it holds for all positive integer?
can you check for some case like positive integer 5 .

\frac{1}{5(5+1)}\neq\frac{5}{5+1}
 
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.
 
Back
Top