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2015-06-30T19:38:50+08:00

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The difference between two consecutive odd or even numbers would be 2.

We let the first term be x, then x+2, x+4, x+6, x+8
[x+x+2+x+4+x+6+x+8]/5
= [5x + 20] / 5
= x + 4 which is the middle term

In order to make it easier we would represent it by x-4, x-2, x , x+2, x+4
[x-4 + x-2 + x + x+2 + x+4] / 5
= 5x/5
= x

Therefore the average is the middle term.
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