If (m-2) is an odd number then find the 7th consecutive even number after it.
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Answer:
The sum of seven consecutive even integers is 0.
Column A: The product of the seven integers
Column B: 2
Possible Answers:
The relationship cannot be determined from the given information.
Column B is greater.
The two quantities are equal.
Column A is greater.
Correct answer:
Column B is greater.
Explanation:
For the sum of 7 consecutive even integers to be zero, the only sequence possible is –6, –4, –2, 0, 2, 4, 6. This can be determined algebraically by assigning the lowest number in the sequence to be “y” and adding 2 for each consecutive even integer, and then setting this equal to zero.
y, y + 2, y + 4, y + 6 . . .
The product of any number and 0 is 0.
Therefore, column B must be greater.
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