Math Contest #26 Alternative Solution

in #puzzle2 years ago

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:

And here my solution:
Screenshot from 2019-12-28 19-06-29.png
Screenshot from 2019-12-28 19-06-41.png

Sort:  

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.

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.

Congratulations @quantumdeveloper! You have completed the following achievement on the Steem blockchain and have been rewarded with new badge(s) :

You published more than 90 posts. Your next target is to reach 100 posts.

You can view your badges on your Steem Board and compare to others on the Steem Ranking
If you no longer want to receive notifications, reply to this comment with the word STOP

To support your work, I also upvoted your post!

You can upvote this notification to help all Steem users. Learn how here!

Sorry, @mapxv you’ve reach daily limit of summon the trendo curation bot!


Support @trendotoken projects by delegating : 100SP , 200SP , 500SP , 1000SP , 2000SP

A free manual !trendovoter and $trendotoken from ONECENT.
Thanks for playing!

Congratulations @onecent, you successfuly trended the post shared by @quantumdeveloper!
@quantumdeveloper will receive 7.85218050 TRDO & @onecent will get 5.23478700 TRDO curation in 3 Days from Post Created Date!

"Call TRDO, Your Comment Worth Something!"

To view or trade TRDO go to steem-engine.com
Join TRDO Discord Channel or Join TRDO Web Site

Congratulations @onecent, 2.52% upvote has been shared with your successful call on the post that shared by @quantumdeveloper!


Support @trendotoken projects by delegating : 100SP , 200SP , 500SP , 1000SP , 2000SP

Congratulations @quantumdeveloper, your post successfully recieved 12.47273438 TRDO from below listed TRENDO callers:

@mapxv earned : 3.08036925 TRDO curation
@onecent earned : 5.234787 TRDO curation


To view or trade TRDO go to steem-engine.com
Join TRDO Discord Channel or Join TRDO Web Site

Coin Marketplace

STEEM 0.29
TRX 0.06
JST 0.038
BTC 34940.79
ETH 2395.08
USDT 1.00
SBD 3.84