SOLUTION: The number 9 can be written as the sum of nine consecutive integers. What is the product of these intergers?

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Question 286600: The number 9 can be written as the sum of nine consecutive integers. What is the product of these intergers?

Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
9 consecutive integers:
n,n+1,n+2,n+3,n+4,n+5,n+6,n+7,n+8
So their sum is 9n+36=9(n+4)
So, we want 9(n+4)=9 this implies n+4=1 and n=-3.
So, -3+-2+-1+0+1+2+3+4+5=9.
Now, one should note that 0 is included, so the product of any numbers with 0 has to be 0.