SOLUTION: A sequence has a term 0 of 125 and was decreasing by 6%. What is the explicit equation for this sequence?

As described, this sequence is a geometric progression with the starting term   = 125 and 
the starting index "0" (zero). The common ratio of the progression is r = 1-0.06 = 0.94.


Had it have a starting index 1, an explicit formula would be 

     = .


But since our starting index is 0 (shifted one unit to the left), an explicit formula for the n-th term 
of our sequence takes the form 

     = .    ANSWER


CHECK.  To check, calculate several starting terms using the formula and then compare the results 
        with the description


         = ;   = ;   = .


        It is consisted with the wording description.