I have the need to create a series of numbers between a starting number and ending number where the numbers between increase gradually but not at regular intervals. I feel it's a function of a logarithm, but I'm not certain.
For example, to help explain further.
The starting number is 1.
The ending number is 125.
I need to have 12 numbers between 1 and 125 that increase gradually and evenly (a curve).
Just dividing 125 by 12 would give me 10.4166, so I could have a series of numbers being:
But that would end up being linear, and not a gradual (curved) increase between 1 and 125.
What is a good formula that would provide for 12 points between 1 and 125 on a gradually curved increase?
Thanks much in advance!
For example, to help explain further.
The starting number is 1.
The ending number is 125.
I need to have 12 numbers between 1 and 125 that increase gradually and evenly (a curve).
Just dividing 125 by 12 would give me 10.4166, so I could have a series of numbers being:
1 |
20.8332 |
31.2498 |
41.6664 |
52.083 |
62.4996 |
72.9162 |
83.3328 |
93.7494 |
104.166 |
114.5826 |
124.9992 |
But that would end up being linear, and not a gradual (curved) increase between 1 and 125.
What is a good formula that would provide for 12 points between 1 and 125 on a gradually curved increase?
Thanks much in advance!