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"Average of consecutive integers": Since 2k-1 is the average, shouldn't I use 2k-3, 2k-2, etc.?

Link

https://gre.magoosh.com/questions/354

 

Question

Since 2k-1 is the average, shouldn't I use this list: 2k-3, 2k-2, 2k-1, 2k, 2k+1?

 

Answer

That's a 100% perfectly valid way to solve this problem. :-)

But it's good to take note that if you use any 5 consecutive integers, the difference between the least and the greatest is always going to be 4, because the largest is 4 bigger than the first. The (2k-1) in this problem is just a distraction, and we want to learn to recognize when that's the case so we don't waste precious time!

 

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