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What three consective numbers have a product of 105?
Three consecutive odd numbers: 3, 5, 7
Is the product of two odd numbers odd or even?
The product of two odd numbers is always odd.
How would you Explain how you would decide whether the product of three numbers is positive or negative?
If all three numbers are positive then the product obviously has to be positive. If TWO of the three numbers are negative, then the product is also positive. But if exactly ONE of the three numbers is negative or if all THREE are negative, then the product must be negative. In general, a product of numbers is negative if an ODD NUMBER of the terms is negative.
What do you predict about the product of any two odd numbers?
The product of odd number is always odd.
What three consecutive odd numbers have a product of 29667?
Let's assume the first odd number is x. Then the next two consecutive odd numbers would be x + 2 and x + 4. The product of these three numbers is x(x + 2)(x + 4) = 29667. By trial and error, we find that x = 51 satisfies this equation. Therefore, the three consecutive odd numbers are 51, 53, and 55.
