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Proof


NSX

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Originally posted by NSX

Well, just really anything in particular.

 

ie. Prove that if 25 is subtracted from the square of an odd integer greater than 5, the resulting number is always divisible by 8.

 

Proof by induction agogo

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  • 8 months later...

now lets try:

2n+1>5

n>2

(2n+1)^2-25/8

(2n+1+5)*(2n+1-5)/8

(2n+6)*(2n-4)/8

now n is an even number greater than 2 and 2n+6 and 2n-4 are also even numbers and their multiplication is also even when you divide even by even you get an integer from this the number given is diviseable by 8.

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  • 1 month later...

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