The exponential growth can be mathematically represented as follows: W1=WOert
Here, W1= final size (weight, height, number etc.), W0= initial size at the beginning of the period, r= growth rate, t= time of growth and e= base of natural logarithms. Mathematically, the arithmetic growth rate can be shown as follows: Lt=L0+rt.
Here, Lt is the length at time t,L0 is length at time 0 and r is the rate per unit time.