Hi Brilliant! I've decided to start the first ever summation contest here.
The aims of the Summation contest are to improve skills in the computation of sums, to learn from each other as much as possible, and of course to have fun. Anyone here may participate in this contest.
The rules are as follows:
I will start by posting the first problem. If there is a user solves it, then they must post a new one.
You may only post a solution of the problem below the thread of problem and post your proposed problem in a new thread. Put them separately.
Only make substantial comment that will contribute to the discussion.
Make sure you know how to solve your own problem before posting it in case there is no one can answer it within 48 hours, then you must post the solution and you have a right to post another problem.
If the one who solves the last problem does not post his/her own problem after solving it within a day, then the one who has a right to post a problem is the last solver before him/her.
You are NOT allowed to post a multiple summation problem.
Problems must be purely of summation. They shouldn't have integrals and products in them. Solutions can follow methods that use integrals and products.
It is NOT compulsory to post original problems. But make sure it has not been posted on brilliant.
There is no restriction in the standard of summations.
Please post your solution and your proposed problem in a single new thread.
Format your post is as follows:
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The comments will be easiest to follow if you sort by "Newest":