i, -1, i So the ratio if sqrt(-1)/-1? There doesn't seem to be a common ratio...
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Originally Posted by puzzledwithpolynomials i, -1, i So the ratio if sqrt(-1)/-1? There doesn't seem to be a common ratio... $\displaystyle \frac{t_2}{t_1} = \frac{i}{-1} = -i$. $\displaystyle \frac{t_3}{t_2} = \frac{-1}{i} = \frac{-1}{i}\cdot\frac{-i}{-i} = \frac{-(-i)}{-i^2} = \frac{i}{-(-1)} = \frac{i}{1} = i$. You're right, there's not a common ratio.
Originally Posted by puzzledwithpolynomials i, -1, i So the ratio if sqrt(-1)/-1? There doesn't seem to be a common ratio... As written, I must agree with you. It is no geometric. If it were $\displaystyle i\;,\, - 1\;,\, \color{red}{- i}$ then $\displaystyle i$ works.
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