HELP!!!!!! induction question (1 Viewer)

tito981

Well-Known Member
Joined
Apr 28, 2020
Messages
326
Location
Orange
Gender
Male
HSC
2021
im assuming you got up to proving for K+1 and you got up to:

kH(k)+1+H(k) after you plug in the assumption to LHS of the statement for n=k+1

then factor as such:

H(k)[k+1]+1

then factor out (k+1)

[k+1](H(k)+1/(k+1))

then note H(k) + 1/(k+1) = H(k+1)

thus you get [k+1]H(k+1) as required for n=k+1

(sorry i dont know how to type in latex yet)
 
Joined
Jul 24, 2020
Messages
21
Gender
Undisclosed
HSC
2022
im assuming you got up to proving for K+1 and you got up to:

kH(k)+1+H(k) after you plug in the assumption to LHS of the statement for n=k+1

then factor as such:

H(k)[k+1]+1

then factor out (k+1)

[k+1](H(k)+1/(k+1))

then note H(k) + 1/(k+1) = H(k+1)

thus you get [k+1]H(k+1) as required for n=k+1

(sorry i dont know how to type in latex yet)
THANKYOUUUUU so muchhhhhh
 

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

Top