document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "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?
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Algebra.Com's Answer #345233 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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