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Recursion loop help needed tia sal

Greets All,

I'm having a little trouble in creating this example in mathematica, I'm 
not sure how to make the array dynamic enough in mathematica to include 
Cn.....Xn in example 1.  Does anybody have any idea

Example 1:
User Input for four numbers 15,17,8,12... (Note: user can input any amount
of numbers)

(15+17) /25/2 ->b1
(b1+8) /25/2 ->b2
(b2+12) /25/2 ->b3
(b1+b2) /25/2 ->c1
(c1 +b3)/25/2 ->c2
(c1 +c2) /25/2 ->c3


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