User:Stig Holmquist

I was borne in Sweden and emigrated to the USA in 1953 to study Ceramic Technology at Alfred Univ. N.Y. I'm now playing around with a simplified method of converting rubber bridge scores to Victory points. There is one such table dreamed up more than 25 years ago. It lacks any mathematical foundation.

I've tried a variety of mathematical combinations and my latest method is based on the Fibonacci series: 1-2-3-5-8-13-21-34-55-89-144-233.... It has yielded a new sequence that might be interesting. It is not intended to replace the International Matchpoint Scale, but could be used by social bridge players using the 4-deal method to determine has done best after 6-10 rounds.

After the completion of each round of four deals one calculates the net score difference between the two pairs at each table and converts this number to Victory Points based on this scale, where the winning pair gets the higher of the two numbers listed for each range. The Victory Point will vary from 10 to 0 and cover the score difference from 0 to 3850 or higher.

The spread 0 to 3850 is divided up based on the Fibonacci series 1-2-3-5-8-13-21-34-55-89-144-233... as follows. 0-10, 20-40, 50-80, 90-140, 150-230, 240-370, 380-590, 600-940, 950-1500, 1510-2400, 2410-3850. Note that each range is a multiple of 10 times the above Fibonacci series. Note there is a 10 point step between the high number of each range and the low number of the next range.

Now take the sum of each range and divide by 10 and you'll get the sequence: 1-6-13-23-38-61-97-154- 245-391-626-1005....

Having only rudimentary math know how I would like to ask if this series can be expressed with a simple formula to allow calculation of the nth term. Would somebody care to do this?