SOLUTION: The number 9 can be written as the sum of 9 consecutive integers. What is the product of these 9 integers ?
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Question 200929: The number 9 can be written as the sum of 9 consecutive integers. What is the product of these 9 integers ?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x = first integer
So x+1 is the next integer, x+2 is the next integer after that, etc...
So because "The number 9 can be written as the sum of 9 consecutive integers", this means that
Start with the given equation.
Remove the parenthesis.
Combine like terms on the left side.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
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Answer:
So the solution is which means that the first integer is -3
So the 9 consecutive integers are:
-3, -2, -1, 0, 1, 2, 3, 4, 5
If you multiply them together, you'll get 0 (since 0 is being multiplied here).
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