What is the reasoning behind this equation
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What is the reasoning behind this equation

[From: ] [author: ] [Date: 13-07-04] [Hit: ]
........
I am presented with this equation:

0.416667 = (1/12)+(1/12/9*8)+(1/12/9*7)+(1/12/9*6)+…

It is supposed to represent a linear progression over 9 months in one year. The rate is at 41.67%.

I understand 1 divided by 12 to get the value of one month in a year, but then why is it then divided again by 9?
If you wanted to figure out the total value for 8 months or something, wouldn't you just do this --> 1 divided by 12, multiplied by 8? I don't get it.

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This is written poorly but what you are looking at is all the months rates' over 9 months added together and then divide by 9 for the average so pull out all the 9s and you get each months added together
Like this [1/12+(1/12)*1+(1/12)*2...(1/12)*8] and then divided by the total of 9 or
[1/12+(1/12)*1+(1/12)*2...(1/12)*8]/9
This isn't looking for the total of something that would be just the 8*1/12 but the rate
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