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BHQM16 FTF Percentage Mystery Cache

This cache has been archived.

NogNod: Archiving the question mark so that more caches can be placed in BH

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Hidden : 10/8/2012
Difficulty:
4 out of 5
Terrain:
2 out of 5

Size: Size:   micro (micro)

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Geocache Description:

A cache about being First to Find.



This is a series of 19 puzzle caches in the shape of a question mark on the map of Burgess Hill. All hides are within (or on the very edge of) the urban area of Burgess Hill, but I have tried to keep them away from places overlooked by buildings.

Some hard core cachers are not happy to just pop out for a nice walk on a Sunday afternoon and take in a series. They’re serious FTF tarts. They receive e-mails on their smart phones 24/7 alerting them to any new cache that appears in their “Territory”. Let’s invent another new Geocaching term (I do this a lot don’t  I), called the FTF Percentage, or FTFP. The FTFP is an indication of how much of an FTF Tart you are. It’s just the total number of FTFs you have claimed, divided by your total number of caches logged, expressed as a percentage. (You can leave out events if you like. I suppose no one logs them as FTFs, that’s up to you).

I just calculated my own FTFP at 5.79%. Interestingly mine has dropped since April, (when it peaked at 8.8%), probably because of all the time I have spent on the Olympic rings. Generally one might expect your FTFP to start low, and gradually increase. I know that frequent solvers of my puzzles AnTsInRpAnTs have a healthy FTFP of 6.6% and theirs has gradually increased over time.

When logging this puzzle I would be interested to know what people’s FTFP is, if they can calculate it.

Here is a puzzle about FTFP.


Fictional Geocachers called PaNtSoNrAnTs start their Geocaching in the usual way, fairly casually. In fact none of their first 100 caches are an FTF. During the next 100 caches they do log 1 FTF so after 200 caches their FTFP is 1/200 or 0.5%. As they find more caches their dedication to the FTF game increases. Here is a table of their FTFP versus number of caches found.

 
Look carefully at the figures for the fictional cachers. They are based on a mathematical progression. Can you figure out how that series would continue? Answer the following assuming it does continue:

Q1 What will their FTFP be after they have found 1000 caches?  Write as AB.C

Q2 How many FTFs will they log between cache 1201 and 1300? Write as DE

Carrying on this progression has its pitfalls however. At some point in the series the mathematical series meets a ‘practical’ limit.

Q3 Assuming that the practical limit applies from then on, what will the FTFP be when they have found 3000 caches? Write as FG.H

The cache is found at:

N 50 5B.G(E+A)(A+1), W 000 0F.(C+1)(A-1)(D-1)


Additional Hints ()

zhygv gehax

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)

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