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Recursive Rules


Greetings,

I know that a recurrent/recursive function can be written 

f[t_] := f[t] = a + b*f[t-1].

So that once an initial value is stipulated, e.g., f[0]=0, then the 
function "remembers" past values and can correctly calculate f[] for 
any t. 

I was wondering if it was possible to do the same thing with a Rule?

Thanks,

-Mark


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