A Range calculation tip

[whitedwarf99]

gr8 idea i tryed it for my lvl 30-40 and it worked to the arrow exactly so it must have at least a general accuracy

[Drawde_3]

3) Third, how many arrows do I need if I do or don't pick them up.If I don't pick up my arrows then I need about 9363 arrows.

 

If I do pick them up then I am only going to be able to get a certain portion of them back and then I will reuse them.

 

Let's call the portion that we get back, p

 

(p will always be between 0 and 1)

 

If we get all of them back, p=1

 

If we get only 1/3 back, then p=0.333

 

If we get half back, then p=0.5

 

In practice, I find that I get about 3/4 back, so p=0.75

 

 

 

So, If I start with 1024 arrows and I shoot all of them then

 

if I am able to pick up 3/4 of them, I'll have 1024*3/4 = 768 remaining.

 

If I then shoot those 768 arrows and pick up 3/4 of them, then I'll have 576 remaining.

 

If I shoot those 576 and pick up 3/4 of them I'll have 432 remaining.

 

And so on and so on and ...

 

 

 

So the question is, "How many arrow shots can I get with those 1024 arrows?"

 

If you have been keeping score, we shot 1024+768+576+432+... arrows.

 

If we wrote the above sum in terms of the number of arrows, A, and the

 

portion that we got back, p, then the sum can be expressed as

 

Shots = A + A*p + A*p*p + A*p*p*p + ...

 

 

 

 

Thats all in well but you should incoprat the fact that only 4/5 of arrows recoverable? Or did I miss something?