April 20th, 2017, 09:35 AM  #11 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,788 Thanks: 1037 Math Focus: Elementary mathematics and beyond 
What kind of instrument are you building?

April 20th, 2017, 10:58 AM  #12 
Newbie Joined: Apr 2017 From: Seattle Posts: 14 Thanks: 1  
April 20th, 2017, 10:34 PM  #13 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,579 Thanks: 541 Math Focus: Yet to find out.  I don't understand. Fretted or not, you essentially want a line divided into 33 sections, with each section getting smaller and smaller as you progress away from one end (or bigger and bigger from the other end). That to me is the same thing. The website allows you to put your own scaling length in, and the number of frets, or in your case, 33. 
April 21st, 2017, 05:34 AM  #14 
Newbie Joined: Apr 2017 From: Seattle Posts: 14 Thanks: 1 
I tried their calculator and if only I could set the first and last segments lengths to what I need them to be I would be all set. I can make an excel spreadsheet spit out 35 declinating numbers starting at 1.18 but not with the last one being .88 If no one has a ready solution could anyone point me in a direction to explore instead? Some keywords for a certain type of math discipline to explore? If it's not algebra then perhaps a different sub forum would be appropriate. If it's unsolvable do I qualify for some million dollar math xprize? Thanks again. 
April 21st, 2017, 07:39 AM  #15 
Newbie Joined: Apr 2017 From: Seattle Posts: 14 Thanks: 1 
What about a divergent series (not by Veronica Roth) in Calculus? Trying to solve it with triangular numbers doesn't work for this.

April 21st, 2017, 09:00 AM  #16 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,128 Thanks: 801 
Well, I simply can't see why you don't use ye olde geometric series formula. With 1st = 118 and 35th = 88, then: common ratio = r = .991409236551.... And the result is: 1: 118.000 2: 116.986 3: 115.981 4: 114.985 ... 33: 89.532 34: 88.763 35: 88.000 
April 21st, 2017, 09:52 AM  #17 
Newbie Joined: Apr 2017 From: Seattle Posts: 14 Thanks: 1 
Denis  A quick question: Does the sum of the results add up to 33.3? If so then I am forever in your debt and all the other math peoples are shamed! 
April 21st, 2017, 10:51 AM  #18  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,128 Thanks: 801  Quote:
No matter how exotic the calculations are, 11888 = 30. Perhaps someone else here will "see" whadda heck you're doing...so I remain shamed...  
April 21st, 2017, 11:19 AM  #19 
Newbie Joined: Apr 2017 From: Seattle Posts: 14 Thanks: 1  I didn't mean to imply anything rude! When I use the geometric sequence with common ratio=.991409236551 and first=1.18 the total sum of the first 35 terms comes out to 35.801 To use the geometric sequence as a solution I would need to be able to the sum, the first first term, the 35th term, and the number of terms. I don't think there is a way to algebracadabra the geometric sequence equation so I can input my requirements and have it work. I apologize to everyone if I haven't been clear in my requirements for this project. I don't know all of the correct keywords of mathese to explain myself I guess. Until some mentions an idea like "geometric sequence" then I can go look it up and explore it further. Perhaps it's just me but I intuitively feel like there is a simple solution that I just don't have the tools for. I can hunt and peck a solution in the CAD program but that doesn't help me next time or allow me to easily adjust the design if one of my constraints changes. Last edited by ronmryd; April 21st, 2017 at 11:22 AM. 
April 21st, 2017, 01:10 PM  #20 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,128 Thanks: 801 
Yes, they do add up to ~35.801 Seems like what you're after is something like 2+3=5, but you want 2+3=4.9, and need a way to change 3 to 2.9 (35.801 to 33.3). 

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dividing, line, segments, unequal 
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