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Proof by induction question

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Reply 2
Original post by Sha.xo527
Image and question below

image.jpg

This is the solution:
46225B0F-25D0-4523-98CB-61CEBBD37120.png

All good until *something* was done to the fraction to make it (k + 1)(3k +8)/(k +2)(k +3). What was done?
Reply 3
looks like a typo. The + should be =
Reply 4
Original post by mqb2766
looks like a typo. The + should be =

Oh yeah I understand that, but I don’t know why/how it equals (k + 1)(3k +8)/(k +2)(k +3)
Reply 5
Original post by Sha.xo527
Oh yeah I understand that, but I don’t know why/how it equals (k + 1)(3k +8)/(k +2)(k +3)


You want to cancel a (k+1) factor, so have you tried to factorise the numerator?
numerator(-1)
equals zero so it should factorise.
(edited 6 months ago)
Reply 6
Original post by mqb2766
You want to cancel a (k+1) factor, so have you tried to factorise the numerator?
numerator(-1)
equals zero so it should factorise.

Teachers don't use the word 'cancel' - we simplify ...
Reply 7
Original post by mqb2766
You want to cancel a (k+1) factor, so have you tried to factorise the numerator?
numerator(-1)
equals zero so it should factorise.

Thank you! Figured it out

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