A summation that "feeds back into itself"

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tovisonnenberg
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Hi everyone! I need to use sigma notation to build a summation that "feeds back into itself". By that I mean that it should model a sum whose terms are f(x) + f(f(x)) + f(f(f(x))) and so on. How would I do this?
 
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You can write f(f(f(x))) as f3(x) and that 3 can be replaced by a variable, too.
 
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