SOLUTION: What is the value of x in the following geometric sequence x, 64, _, _, 1

Algebra ->  Sequences-and-series -> SOLUTION: What is the value of x in the following geometric sequence x, 64, _, _, 1      Log On


   



Question 1065215: What is the value of x in the following geometric sequence
x, 64, _, _, 1

Found 2 solutions by josgarithmetic, Mini-:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Common ratio between successive pair of terms.
Term at index 2 is 64.
Term at index 5 is 1.
64%2Ar%2Ar%2Ar=1
Can you solve this for r?
Then move back one index from 64?


x=256

Answer by Mini-(17) About Me  (Show Source):
You can put this solution on YOUR website!
64/y/y/y=1; 64/(y^3)=1; y^3=64; y=4; x=64*4; x=256;