Induction Proof

namilaster

New member
Joined
Sep 20, 2017
Messages
1
Using the mathematical theory of induction, prove that (x+a) is a factor of x2n+1+a2n+1 for all n is greater than or equal to zero, where x is a variable and a is an integer.
 
Using the mathematical theory of induction, prove that (x+a) is a factor of x2n+1+a2n+1 for all n is greater than or equal to zero, where x is a variable and a is an integer.

Is there any restriction on the domain of 'n' - integer, rational, real......?
 
Is there any restriction on the domain of 'n' - integer, rational, real......?

Here, the domain of n is necessarily being taken as that of the integers, because the context is mathematical induction.
 
Last edited:
Here, the domain of n is necessarily being taken as that of the integers, because the context is mathematical induction.
Thanks for the elucidation - I was hoping that OP was coming to that conclusion - and show some work then on.....
 
Top