Title, I was just doing an induction proof (which could easily be done algebraically anyway) and while proving for n=k+1, I could prove it either by using the induction hypothesis or just algebra. I didn't know whether I had to use the induction hypothesis or not, so just asking here. Thanks in advance!
-
Finished your HSC? Check out our University Discussion, Non-School forums or help out next year's HSC students! -
YOU can help the next generation of students in the community! Share your trial papers and notes on our Notes & Resources page
Do you have to use the induction hypothesis when proving by induction? (1 Viewer)
- Thread starter calamebe
- Start date
Yes, you need to use the inductive hypothesis to make it a proof by induction. If you didn't make use of it, then you have essentially proved the statement without induction.
Paradoxica
-insert title here-
Lol I just call it the Axiom of Induction.