Build a software based on programming

I want to build a software whose primary job is following we will input three or more than three numbers of any possible mathematical series like AP, GP, HP, function like f(x)= x^2 +x , exponential function, f(x)=x^2, etc ...any kind of series & an output would be given as the next number of the series along with the possible function. the objective of this software is to find out the function to which a set of input numbers belong and the next number of the series. Concept:- let var= any variable C= constant now let us take five functions f(var)= var + C g(var)= var - C h(var)= var*C j(var)= var/C k(var)= C/var now let us take another four functions F(var,var')= var + var' G(var,var')= var var' H(var,var') = var*var' J(var,var') = var/var' now suppose we want to make an AP function q(x)= 5+ (x-1)6 then by combining f(h(var))= C+ var*C f(h(g(var)))= C+ (var-C)*C in this way an AP series can be defined by combining the four primary functions therefore a number of funtions can be established by combining the above primary functions for example :- q(x)= x+9 can be made by starting with f(x)= x+1 fofofofof....9 times fof(x)= x+9 similarly q(x)= x^3 by hohoh(x) I planned to make it on c language by using for loop i thought to combine the primary functions and make a database of multiple, millions of functions just by ordering computer to combine these function randomly and using a function random no. of times. and by defining for and if loop on the input numbers i thought i can make a condition that if three input numbers satisfies the three consecutive numbers of the series then the fourth number is given in the form of output Notes:- ** the input can also be given in decimal numbers so log and exponential functions can be included . the number shall be recognised by the number of digits after decimal.