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Math Help - Finding the ratio of the geometric sequence?

  1. #1
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    Finding the ratio of the geometric sequence?

    i, -1, i
    So the ratio if sqrt(-1)/-1? There doesn't seem to be a common ratio...
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  2. #2
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    Quote Originally Posted by puzzledwithpolynomials View Post
    i, -1, i
    So the ratio if sqrt(-1)/-1? There doesn't seem to be a common ratio...
    \frac{t_2}{t_1} = \frac{i}{-1} = -i.

    \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.
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    Quote Originally Posted by puzzledwithpolynomials View Post
    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 i\;,\, - 1\;,\, \color{red}{- i} then i works.
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