SOLUTION: Given numbers a,b,c find x: a+x, b+x, c+x are consecutive in a geometric sequence. What is x?

Algebra ->  Sequences-and-series -> SOLUTION: Given numbers a,b,c find x: a+x, b+x, c+x are consecutive in a geometric sequence. What is x?      Log On


   



Question 857283: Given numbers a,b,c find x: a+x, b+x, c+x are
consecutive in a geometric sequence. What is x?

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
For a+x, b+x, c+x to form a geometric sequence, we must have . Subtract x^2 from both sides and you will obtain , provided this number exists.