dahs .. if your model is correct, then this is ALSO what you are saying
1. (A + B) / 2 is A/2 + B/2
2. ((A + B)/2) + C)/2 ... this is the same as A/4 + B/4 + C/2, it continues as below
3. A/8 + B/8 + C/4 + D/2
4. A/16 + B/16 + C/8 + D/4 + E/2
5. A/32 + B/32 + C/16 + D/8 + E/4 + F/2
So, if you had a numbers, and they were
96, 64, 32, 96, 64, 32, 96 ... the running average would be as follows:
(96 + 64)/2 = 80
(80 + 32)/2 = 56
(56 +96)/2 = 76
(76 + 64)/2 = 70
(70 + 32)/2 = 51
(51 + 96)/2 = 73.5
Also ...
96/2 + 64/2 = 80
96/4 + 64/4 + 32/2 = 56
96/8 + 64/8 + 32/4 + 96/2 = 76
96/16 + 64/16 + 32/8 + 96/4 + 64/2 = 70
96/32 + 64/32 + 32/16 + 96/8 + 64/4 + 32/2 = 51
96/64 + 64/64 + 32/32 + 96/16 + 64/8 + 32/4 + 96/2 = 73.5
=======
At some point, the first 2 numbers no longer matter ... lets say that the point is A/512 and B/512 is that point because if both were 100, it would be only 0.390625 (or 99.6 would be the value)
This would mean that this is the "long term equation":
A/256 + B/128 + C/64 + D/32 + E/16 + F/8 + G/4 + H/2 = Prestige ... or:
8 years ago is worth (100/256) or 0.390625%
7 years ago is worth (100/128) or 0.78125%
6 years ago is worth (100/64) or 1.5625%
5 years ago is worth (100/32) or 3.125%
4 years ago is worth (100/16) or 6.25%
3 years ago is worth (100/8) or 12.5%
2 years ago is worth (100/4) or 25%
1 year ago is worth (100/2) or 50%