This is not a good audit question. The comments point out that the series likely can't be reasonably handled analytically, and the OP is asking for elementary calculus techniques. The question is therefore ill-posed.

I am also a little confused by the OP's attempt---they are trying to rearrange the general summand, but to what end?

No effort question with many answers.

Based on this comment, the OP still doesn't really understand what is going on.

Let's do it for groups!

1, 2, 3, 4

5, 6, 7, 8

9, 10, 11, 12

13, 14, 15, 16

17, 18‌​, 19, 20

21, 22, 23, 24

25, 26, 27, 28

29

@rschwieb and if you havn't considered it @rschwieb, please do consider it. :-)

@quid @amWhy Sorry, too much going on in life for it to be a possibility.

Thanks for the reply @rschwieb

@rschwieb Thanks for letting us know!

@XanderHenderson, @user21820, @Did, @AsafKaragila, @ZacharySelk, @JohnMa, @rschwieb, @MikePierce, @Shaun, @JyrkiLahtonen, @AnyOneInterestedInAnyWay, please note that the 2018 Moderator Election chat-room has just been launched. Any feedback on the room description? In just over two hours, a meta page collecting users' declarations of candidacy will be open for the subsequent week.

How could I have missed @MartinSleziak ? See comment above.

math.stackexchange.com/questions/2851653/… reopen votes needed here. OP edited in context

This should be closed and possibly asked over on Mathematica.StackExchange.

@ZacharySelk It is reopened. @MarkMcClure Agreed.

This question may be in need of protection. It seems to have attracted a number of not-very-good answers (though the question itself is kind of fun).

Timeline changed for 2018 moderator election.. It seems the (self) nomination phase will now begin on July 30th, 2018. Or am I not understanding Grace Note's recent edit?