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Math Forum » Discussions » Math Topics » discretemath

Topic: help with proofs and big - o
Replies: 4   Last Post: Apr 17, 2008 8:48 AM

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Jon

Posts: 3
From: US
Registered: 4/15/08
help with proofs and big - o
Posted: Apr 15, 2008 10:12 PM
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these are some of the problems I'm having trouble with the proofs these particular problem sets:


I can prove the transitive and reflexive properties
show n^5 - n is a multiple of 10 for all n in P

show n^3 - n is a multiple of 6 for all n in P


10 can divide the following. should I just solve as proof or are there other methods?

show each of the following are multiples of 10

37^100 - 37^20

37^20 - 37^4

37^500 - 37^4

37^4 - 1

37^500 - 1

I will have to prove the properties for the following; however, I'm having trouble:
show 11^n - 4^n is divisible by 7 for all n in P

show n^2 > n + 1 for all n => 2

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