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Math Contest #26 Alternative Solution

BY: @quantumdeveloper | CREATED: Dec. 28, 2019, 6:13 p.m. | VOTES: 54 | PAYOUT: $0.29 | [ VOTE ]

As requested by @lallo I present you how I would have solved this.
This solution is a bit more complex and longer then the one presented in the Results Post, however it still kind of uses the same technique.
As a reminder the problem was to find the limit of the following converging sum:
[IMAGE: https://steemitimages.com/p/NTy4GV6ooFRkjTArCrebYc2WCCmX2KY4SfTbUDpHWg6ZYGYQuW2SeEwTCKijifKACTAHG1aJvKcqrSPKPdZo7yvWFMkVbNiVA5EjgZrsN3pFz14vEB9pC8rKzZZT8neVW2XYR9D5TUvdJDZhrvF2w3sTPibtz7qgKH6LMbd8?format=match&mode=fit&width=640]
And here my solution:
[IMAGE: https://cdn.steemitimages.com/DQmX7fSgxaXLGMQCBVnzZzfoftQUq7VYW2GzYTWCMJFpytE/Screenshot%20from%202019-12-28%2019-06-29.png]
[IMAGE: https://cdn.steemitimages.com/DQmczyUhfumrbauuUymToiC3sZgQEcx72LgXoHcntCSkyyw/Screenshot%20from%202019-12-28%2019-06-41.png]

TAGS: [ #puzzle ] [ #contest ] [ #steembasicincome ] [ #stem ] [ #math ] [ #mathematics ] [ #steemstem ] [ #sbi ] [ #steemiteducation ] [ #palnet ]

Replies

@mapxv | Dec. 28, 2019, 6:40 p.m. | Votes: 0 | [ VOTE ]

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@trendotoken | Dec. 28, 2019, 6:40 p.m. | Votes: 0 | [ VOTE ]

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@steemitboard | Dec. 28, 2019, 7:36 p.m. | Votes: 0 | [ VOTE ]

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@trendovoter | Dec. 28, 2019, 11:06 p.m. | Votes: 0 | [ VOTE ]

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@onecent | Dec. 29, 2019, 5:27 a.m. | Votes: 0 | [ VOTE ]

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@trendovoter | Dec. 29, 2019, 5:27 a.m. | Votes: 0 | [ VOTE ]

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@lallo | Dec. 30, 2019, 12:22 a.m. | Votes: 1 | [ VOTE ]

Interesting that also you end up with an other series to solve, and exactly the same series I got too. Probably with (n^3)/(2^n) one get two "sub" series to solve and so on.

@quantumdeveloper | Dec. 30, 2019, 10:20 a.m. | Votes: 0 | [ VOTE ]

It seems like any such polynomial divided by a power can be reduced recursively to only get geometric series. This should also work for 3^n, 4^n e^n, … an for n³, n⁴, …
It could be interesting to see what happens with rational exponents like n^½.

@trendotoken | Dec. 31, 2019, 6:45 p.m. | Votes: 0 | [ VOTE ]

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