Possibly A Discovery:
Entry posted by JMSOG
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WARNING: THE FOLLOWING IS ONLY FOR NERDS AND MATH GEEKS, OTHERWISE IT WON'T BE IN THE LEAST BIT INTERESTING
i believe i might have made a mathematical discovery:
averageing works by adding a bunch of numbers, and then dividing the sum by the amount of numbers used. an example:
(2+6)/2=4
now, i found out this:
(1)/1=1.0
(1+2)/2=1.5
(1+2+3)/3=2.0
(1+2+3+4)/4=2.5
(1+2+3+4+5)/5=3.0
(1+2+3+4+5+6)/6=3.5
(1+2+3+4+5+6+7)/7=4.0
(1+2+3+4+5+6+7+8)/8=4.5
(1+2+3+4+5+6+7+8+9)/9=5.0
(1+2+3+4+5+6+7+8+9+10)/10=5.5
did you notice? maybe if i align it along the right it'll be more apparent:
(1+2)/2=1.5
(1+2+3)/3=2.0
(1+2+3+4)/4=2.5
(1+2+3+4+5)/5=3.0
(1+2+3+4+5+6)/6=3.5
(1+2+3+4+5+6+7)/7=4.0
(1+2+3+4+5+6+7+8)/8=4.5
(1+2+3+4+5+6+7+8+9)/9=5.0
(1+2+3+4+5+6+7+8+9+10)/10=5.5
each time a new number is added, with one added to it from the previous number, the average increases by .5.
i have trouble figureing out an algorythm to prove this...but i came close...
two questions:
1:is this in any way important?
2:is this already known?
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