SOLUTION: I need help! Question: Find three consecutive even integers in which the 1st and 3rd integer equal double the 2nd integer Thanks!!

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Question 801968: I need help!
Question: Find three consecutive even integers in which the 1st and 3rd integer equal double the 2nd integer
Thanks!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +2n+ = the 1st even integer
+2n+%2B+2+ = the 2nd even integer
+2n+%2B+4+ = the 3rd even integer
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given:
+2n+%2B+2n+%2B+4+=+2%2A%28+2n+%2B+2+%29+
+4n+%2B+4+=+4n+%2B+4+
+n+ can be any integer, so +2n+
can be any even integer
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No matter which 3 consecutive even integers
you choose, like 12, 14, 16
the 1st plus the 3rd = twice the 2nd
+12+%2B+16+=+2%2A14+
+28+=+28+
OK