Question 518631: The problem is: write an expression for the sum of an even integer, 1/2 of the next even integer, and 1/4 of the following even integer.
I know how to write it, if not for the specification that the first integer must be even. I would express it this way: I+ 1/2(I+2) +1/4(I+4). But that does not make I an even number. How do I make sure I is even?
Thanks.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
You can't even be certain that your variable is an integer, much less an even integer. Now if writing this expression is part of a larger problem where this sum is equal to something, THEN if that SOMETHING is an integer, your variable has to be both an integer and divisible by 4 (and therefore even). Then, in order for the problem to have a non-empty solution set, that sum has to be divisible by 4 as well. And by the way, your expression is spot on correct for the given conditions.
John
My calculator said it, I believe it, that settles it
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