SOLUTION: sequence is: -3/4 ; X ; Y ; 2/9 question is: determine the values of X and Y so that the sequence is geometric.

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Question 843163: sequence is: -3/4 ; X ; Y ; 2/9
question is: determine the values of X and Y so that the sequence is geometric.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Geometric

a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29

a%5B4%5D+=+%28-3%2F4%29_%2Ar%5E%283%29+=+2%2F9

              r^2 = (2/9(-4/3)

             r^3 = -8/27

             r = -2/3

-3/4 ; X ; Y ; 2/9

-3/4, 6/12, -12/36, 2/9

-3/4, 1/2, -1/3, 2/9