NestList on a function with more arguments

Question

I'd like to know if it is possible to use NestList on a regular function with more arguments, such as:

fc[x_, y_] := {x + y, x - y};
res = NestList[fc[x,y], {100, 75}, 50]

I just started learning Mathematica on an university, read about pure functions, but from the homework's text it doesn't look like I should use that. Roughly translated, it would be "Define a function of 2 arguments (...) and apply NestList on this function."

Thanks for help

Answer 1

One way to deal with "multiple inputs" to a function like NestList is to express the many inputs as a single vector. For example:

f[{x_, y_}] := {x + y, x - y};
NestList[f, {100, 75}, 5]

does what you are looking for

{{100, 75}, {175, 25}, {200, 150}, {350, 50}, {400, 300}, {700, 100}}

Answer 2

I suggest to look at this :

fc[x_, y_] := {x + y, x - y}
NestList[fc @@ # &, {100, 75}, 5]

{{100, 75}, {175, 25}, {200, 150}, {350, 50}, {400, 300}, {700, 100}}

First, after SetDelayed (:=) you don't have to use ;, look at CompoundExpression. Second, fc has to be applied (Apply) to the list of arguments.