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Problem Solving (PS) | Re: {x, y, z} is an increasing sequence of numbers such that the ratio bet

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Bunuel wrote:

{x, y, z} is an increasing sequence of numbers such that the ratio between the consecutive terms is constant.
{x + 2y, 2x + y + z, x + 3y + z} is an increasing sequence of numbers such that the difference between the consecutive terms is constant.

What is the value of x/z ?

A. 1/4
B. 1/2
C. 1
D. 2
E.4












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Given that y/x = z/y => y^2 = xz

Also 2x + y + z - (x + 2y) = x + 3y + z - (2x + y + z)
=> x - y + z = -x + 2y
=> 2x + z = 3y
=> 2 + z/x = 3y/x
=> 2 + z/x = 3z/y
=> 2 +
...

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