1. ## Geometric Sequence

Find x so that x - 1, x, and x + 2 are consecutive terms of a geometric sequence.

2. Originally Posted by magentarita
Find x so that x - 1, x, and x + 2 are consecutive terms of a geometric sequence.
In a geometric sequence, there must be a 'common ratio' between consecutive terms. So...

$\frac{x}{x-1}=\frac{x+2}{x}$

Solve for x.

3. ## again....

Originally Posted by masters
In a geometric sequence, there must be a 'common ratio' between consecutive terms. So...

$\frac{x}{x-1}=\frac{x+2}{x}$

Solve for x.
I had no idea that there must be a common ratio in terms of geometric sequence.