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Suggestions for translating a Do[] loop ...


Hi,

Given that a, b & r are lists of the same length, can anyone suggest a
translation of the following Do[] loop to something functional?  It looks
like an ideal application for Fold, but for me, the loop going backwards is
really obscuring things.

The loop is 

	Do[
    		r[[j]] = a[[j]] * (b[[j]] + r[[j + 1]]) / (1 + b[[j]] * r[[j
+ 1]]),
    		{j, Length@a - 1, 1, -1}
    		];

with r[[Length@a]] = 0.

Many thanks,

Dave.


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