• Congratulations to the Class of 2024 on your results!
    Let us know how you went here
    Got a question about your uni preferences? Ask us here

Induction (1 Viewer)

=)(=

Active Member
Joined
Jul 14, 2021
Messages
647
Gender
Male
HSC
2023
1676461589061.png

is there anything wrong with my working?
 

member 6003

Member
Joined
Apr 20, 2022
Messages
83
Gender
Male
HSC
2023
Yes it should be correct. I would just prove that -1/(k+1) + 1/(k+1)^2 >= -1/(k+2) but it might be slightly longer.
 

member 6003

Member
Joined
Apr 20, 2022
Messages
83
Gender
Male
HSC
2023
this question is also kind of weird / its derivative of LHS>=RHS= 2 - 1/n which I think is a more well known inequality.
 

carrotsss

New Member
Joined
May 7, 2022
Messages
4,455
Gender
Male
HSC
2023
Nitpicky but you should really use brackets around k+2 in the third last fraction
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top