Sequences

(1 - x_2)$, can we show $x_1x_2x_3+1=0$?
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Ref: R5995

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It is given that \[\begin{equation*} x_2 = \frac{1}{1 - x_1}, \quad x_3 = \frac{1}{1 - x_2}, \quad x_4 = \frac{1}{1 - x_3}, \quad\text{where $x_1 \ne 0$ or $1$.} \end{equation*}\]

Prove that (i) $x_1x_2x_3 + 1 = 0$, (ii) $x_4 = x_1$.

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Sequences

If $x_2 = 1/(1 - x_1), x_3 = 1/(1 - x_2)$, can we show $x_1x_2x_3+1=0$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

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If $x_2 = 1/(1 - x_1), x_3 = 1/(1 - x_2)$, can we show $x_1x_2x_3+1=0$?
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