3 ms·
He's taking the running average of the partial sums: 1-1 = 0 0+1 = 1 1-1 = 0 0+1 = etc etc The partial sum would end up being equal to the fin
by Doxin 8y ago
He's taking the running average of the partial sums:
1-1 = 0
0+1 = 1
1-1 = 0
0+1 = etc etc
The partial sum would end up being equal to the final sum by definition when you're done summing all items. Since we're talking about infinite sequences you're never done summing all items so you'll have to do something else to end up with an answer. for example seeing which way the partial sum trends. In this case it trends solidly in the direction of 1/2
- Koshkin 8y ago> In this case it trends solidly in the direction of 1/2 ...except that it doesn't; to me, it even looks more like it trends in the opposite direction, i.e. it is trying to stay away from 1/2.
- whatshisface 8y agoThe farthest it could get from 1/2 would be if it ran off to + or - infinity. Hovering between +1 and -1 could be compared to an orbit.
- hammock 8y ago>...except that it doesn't; to me, it even looks more like it trends in the opposite direction, i.e. it is trying to stay away from 1/2. Like two magnets repelling each other: if you were to hold them together and we call that 1/2 - but they are always trying to push away from each other!