Algebraic manipulation of a chain of reciprocal equations to find a product.
From P+1/Q=1, we get 1/Q=1-P, so Q=1/(1-P). From Q+1/R=1, we get 1/R=1-Q. Substituting Q: 1-Q = 1-1/(1-P) = (1-P-1)/(1-P) = -P/(1-P), so R=(1-P)/(-P)=(P-1)/P. Then PQR...
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