10
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I currently stand on point A, somewhere in Europe.

When I do my sequence here and if I start with 25, I get the following sequence:

25, 13, 7, 5, 4, 4, 4, 4, x, ...

When I step a few metres to the Southwest, I get the following sequence:

25, 10, 3, 5, 4, 6, 3, 5, y, ...

When I step a few metres to the East, I get the following sequence:

25, 14, 8, 4, 4, 4, 4, 4, z, ...

Here $x,y,z$ are yet unknown integers, and the dots signify that the sequence continues indefinitely to the right. You may start to find $x,y,z$, but the harder question and actual puzzle is:

Where is point A?

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  • 1
    $\begingroup$ Note: I changed the puzzle since I cannot count. I'm sorry to those who spent time figuring something out that is not there. Credit goes to Gordon K for noticing. $\endgroup$ – wythagoras Jan 20 '16 at 16:15
10
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The answer is:

Hoogste punt van Nederland (Highest point of the Netherlands)

The reasoning:

Using the trusty old "count the letters in the number" technique, I have found that Dutch fits the pattern for point A:
25 - vijfentwintig
=> 13 - dertien
=> 7 - zeven
=> 5 - vijf
=> 4 - vier
=> 4 - vier
=> 4 - vier
=> 4 - vier
=> 4 - vier ....

So the value for x is

4

Going southwest from Point A takes you to

Belgium where the official language is French
25 - vingt-cinq
=> 10 - dix
=> 3 - trois
=> 5 - cinq
=> 4 - quatre
=> 6 - six
=> 3 - trois
=> 5 - cinq
=> 4 - quatre ...

So the value for y is

4

Stepping East takes you to

Germany and the sequence here is
25 - fünfundzwanzig
=> 14 - vierzehn
=> 8 - acht
=> 4 - vier
=> 4 - vier
=> 4 - vier
=> 4 - vier
=> 4 - vier
=> 4 - vier
=> 4 - vier ...

So the value for z is

4

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  • $\begingroup$ I cannot count. Sorry. The answer is correct! I wonder however why you didn't write the second sentence of the answer in English. $\endgroup$ – wythagoras Jan 20 '16 at 16:18
  • $\begingroup$ @wythagoras That's what Google maps calls it! $\endgroup$ – Gordon K Jan 20 '16 at 17:06
  • $\begingroup$ It means "Highest point of the Netherlands" by the way. I live pretty close to it :) $\endgroup$ – Ivo Beckers Jan 20 '16 at 18:10
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    $\begingroup$ Unrelated, but I am amused by the fact that just to the northwest of this location is a hedge-maze, and somebody actually went to the trouble of mapping it on Google Maps... $\endgroup$ – Darrel Hoffman Jan 20 '16 at 20:18

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