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If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx...

If `(a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0),`then show that a, b, c and d are in G.P.

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To show that \( a, b, c, \) and \( d \) are in geometric progression (G.P.), we start with the given equation: \[ \frac{a + bx}{a - bx} = \frac{b + cx}{b - cx} = \frac{c + dx}{c - dx} \quad (x \neq 0) \] ### Step 1: Set the expressions equal to a common variable Let us denote the common ratio as \( k \): ...
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