I need some help with mathematical induction. It's driving me insane.
Use mathematical induction to prove that:
Basis step: Prove 1 exists in S.
n = 1 LHS =
RHS = = 1/3
So 1 exists in S
Assume k exists in S. We must prove k+1 exists in S
After this i just get lost, i think i have a problem when trying to perform arithmetic on it. Any help would be much appreciated.
I also have another question:
Find a fourth order polynomial with integer coefficients for which is a root.
SO we have
any help would be much appreciated!