Question: Try to create a sequence using the previous term.

I'm trying to use maple to solve for the first 5 terms for a sequence, and each term is the term before it with some new value added to it, I'm trying to define this function correctly in maple and cannot find a way to do it. I need to have it in a form where it can solve for any term so I need to get it into a general form solvable for any value.


Basically the sequence I'm trying for maple to use correctly is this:

An= (sqrt(3)/4)+((sqrt(3)/4)(2/3)2(1)-2)+((sqrt(3)/4)(2/3)2(2)-2)+.....(sqrt(3)/4)(2/3)2n-2

 

So if n=1 then its just the first two terms, and if n=2 then it's the first three. I can't think of any way to get maple to do this qithout doing seperate definitions for each n value.

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