Find x so that x - 1, x, and x + 2 are consecutive terms of a geometric sequence.
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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... $\displaystyle \frac{x}{x-1}=\frac{x+2}{x}$ Solve for x.
Originally Posted by masters In a geometric sequence, there must be a 'common ratio' between consecutive terms. So... $\displaystyle \frac{x}{x-1}=\frac{x+2}{x}$ Solve for x. I had no idea that there must be a common ratio in terms of geometric sequence.
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