The Student Room Group

Proof of Induction

does anyone know how to prove for
f(n) = n^5+4n —->is divisible by 5
Original post by charlottewood333
does anyone know how to prove for
f(n) = n^5+4n —->is divisible by 5


Yeah try induction and post you attempt and where you get stuck.
Original post by RDKGames
Yeah try induction and post you attempt and where you get stuck.

image.jpg
i didn’t know if i should expand the (k+1)^5 or if there was a way to set it up so i could minus it by k^5
Original post by charlottewood333
image.jpg
i didn’t know if i should expand the (k+1)^5 or if there was a way to set it up so i could minus it by k^5

Where did this red term go?

93E01925-3BF0-4D9F-8A7D-C10B9F570CE0.jpeg
Original post by RDKGames
Where did this red term go?

93E01925-3BF0-4D9F-8A7D-C10B9F570CE0.jpeg

ohhhh i got it now thanks :smile:

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