SOLUTION: The first two terms of an infinite geometric sequence, in order, are 2log2x, log2x, where x > 0. Find r.

Algebra ->  Sequences-and-series -> SOLUTION: The first two terms of an infinite geometric sequence, in order, are 2log2x, log2x, where x > 0. Find r.      Log On


   

Question 1104409: The first two terms of an infinite geometric sequence, in order, are 2log2x, log2x, where x > 0.
Find r.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the number exists, the common ratio of a geometric sequence starting with 2log%28%282x%29%29%22%2C%22log%28%282x%29%29 is
log%28%282x%29%29%2F%282log%28%282x%29%29%29=1%2F2 .
Hopefully x%3C%3E1%2F2 , so that 2x%3C%3E1 and log%28%282x%29%29%3C%3E0 ,
otherwise the common ratio would be undefined.