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Mathematical Induction Question (1 Viewer)

SB257426

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Screen Shot 2023-03-12 at 8.40.57 pm.jpg

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:

Screen Shot 2023-03-12 at 8.45.03 pm.jpg

Screen Shot 2023-03-12 at 8.46.13 pm.jpg
 

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