Calculations involving a series of identical steps where the input of one step is the output of the previous step are called 'iterative functions'. Historically, much of applied mathematics research has been devoted to finding useful newtonian functions. On the other hand, they require the use of computers. Iterative calculations can be used to solve problems traditionally dealt with by 'the calculus'. The discussion continues with an elementary physics problem.
Average velocity is half the sum of initial and final velocity.
This is pretty standard stuff in any High School Physics course. We cover it here by way of review in preparation for our planned discussion of using iterative functions to calculate things which are difficult to do by other means. The bolded cells contain formulae. The setting up of the formulae in the template are left to the reader. Cells A1, B6 and E6 contain numbers rather than formulae.