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Prove that the sum of three consecutive numbers is three times larger than the middle number.

 Jan 7, 2017
 #1
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Make the MIDDLE number 'x'

then the number BEFORE it is 'x-1'

and the number AFTER it is 'x+1'

 

add them together to see if they equal   3 * x      (three times the middle number)

 

(x-1) + x + (x+1)  = ?   3x ?

x-1+x+x-1 =?   3x

x+x+x  = ?   3x

3x = 3x                   Proof!

 Jan 7, 2017

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