If I have series of 1,2,4,7,11 on X-axis with co-ordinates 0,1,2,3,4 respectively, can I calculate the X-coordinate for any number in the series in one "generalized equation" ?
For example the number 7 in the progression series is located at x=3.
So, if given the number 11, how can it's corresponding x-coordinate be calculated using a single equation?
Thanks in advance.
Thanks mr. fantastic.
"There is no unique function that will generate that sequence of values"
I think there should be some equations for geometric progressions at least for a finite series.
1) If dx=1 then obviously x=n
2) If dx=2 then x=n/2
3) if dx=geometric progression, the problem arises, and we cannot directly derive the x-coordinate for "any" number as in 1) and 2)
If anyone has worked on equations for geometric progressions involving finite/infinite series, please reply.