Mathematical Induction Question (1 Viewer)

[SB257426]

For the following question when I am trying to prove the n = k+1 case am I allowed to substitute it in the first line of the question and also in the second line of the question?
What I am trying to say is am i allowed to assume:

 

[s97127]

View attachment 37968

For the following question when I am trying to prove the n = k+1 case am I allowed to substitute it in the first line of the question and also in the second line of the question?
What I am trying to say is am i allowed to assume:

View attachment 37969

View attachment 37970

the second one: View attachment 37970