SOLUTION: WHAT IS THE 30TH TERM OF GEOMETRIC SEQUENCE IF THE 10TH IS 3/512 AND 15TH IS 3/16384

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Question 949553: WHAT IS THE 30TH TERM OF GEOMETRIC SEQUENCE IF THE 10TH IS 3/512 AND 15TH IS 3/16384
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
WHAT IS THE 30TH TERM OF GEOMETRIC SEQUENCE IF THE 10TH IS 3/512 AND 15TH IS 3/16384
Use 



Substitute , 



Divide both sides by 



Substitute , 



Divide both sides by 




Equate the two expressions for 



Divide both sides by 3



Cross-multiply



Divide both sides by 



Take 5th roots of both sides





Substitute 2r=1 in









Now you finish by substituting n=30, a1=3, and 

into



To find a30.

Edwin