![alternating harmonic series alternating harmonic series](https://pbs.twimg.com/media/DKuOYXrW4AAaqxx.jpg)
But if the right side starts out with a whole bunch of people pulling, and then you start alternating after that, then the left side never stands a chance.Aptoide Apk for Skin Editor for Minecraft PE The right side always has a slight advantage because they got to start pulling first, but every time they add a team member, the left side adds a team member almost the same size. In this way, it never becomes too one sided. With the usual ordering of the alternating harmonic series, you put a big guy on the right, and then a slightly smaller guy on the left, and then a smaller guy than that on the right, and so on. You have infinitely many people joining the tug of war on either side to help out, but you get to decide what order to make them join in. In my mind I picture something like a tug of war, with the negative terms pulling the sum to the left at the positive terms pulling it to the right. If you keep doing this, the sequence of partial sums will converge to pi. As soon as you get back above pi, subtract the next negative term. You're back down below pi again, so take as many more of the positive terms as you need to get back above pi. Just take enough terms of the sum 1+1/3+1/5+1/7+. That means that you can always select the positive terms in such a way as to get you to as large a number as you like.
#ALTERNATING HARMONIC SERIES SERIES#
Carl Sagan, Cosmosīecause the series 1+1/3+1/5+. We make our world significant by the courage of our questions and by the depth of our answers.
![alternating harmonic series alternating harmonic series](https://prod-qna-question-images.s3.amazonaws.com/qna-images/question/0e33b2cf-6531-4b8e-a8ef-bed02677dd66/aac5dfed-4aac-442c-a649-446a74f70123/taoh4d_processed.png)
![alternating harmonic series alternating harmonic series](https://slidetodoc.com/presentation_image_h/0af79a71aa8026525229df71f2b3956d/image-30.jpg)
![alternating harmonic series alternating harmonic series](https://prod-qna-question-images.s3.amazonaws.com/qna-images/question/497a2e29-8b1f-4aa6-9cd1-1a4f39410e29/b055350f-164c-4671-8fa5-a8c14b9c735a/gpfv26n.png)
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