SOLUTION: The first term of a geometric progession is 75 and the third term is 27.Find the two possible values for the fourth term.

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Question 1186566: The first term of a geometric progession is 75 and the third term is 27.Find the two possible values for the fourth term.
Answer by ikleyn(52879)   (Show Source): You can put this solution on YOUR website!
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The first term of a geometric progession is 75 and the third term is 27.
Find the two possible values for the fourth term.
~~~~~~~~~~~~~~ 

Take the ratio    to    and get the square of the common ratio

     =  =  = .


THEREFORE,  for the common ratio "r", you have two values  r =  = +/- .


It gives two possible values for the fourth term


     =  =  = ,  if  r = ,

and


     =  =  = ,  if  r = .

Solved.



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