SOLUTION: The first term of a geometric sequence is 1/8 and the 4th term is 8. What is the 6th term?

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Question 481795: The first term of a geometric sequence is 1/8 and the 4th term is 8. What is the 6th term?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

geometric sequence

a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29

a%5B1%5D = 1/8

a%5B4%5D=%281%2F8%29r%5E3=+8%29

           r^3 = 64

           r = 4

a%5B6%5D=%281%2F8%294%5E5=+highlight%28128%29%29