The first three terms of a geometric seq...

The first three terms of a geometric sequence are `x`, `y`,`z` and these have the sum equal to `42`. If the middle term `y` is multiplied by `5//4`, the numbers `x`, `(5y)/(4)`, `z` now form an arithmetic sequence. The largest possible value of `x` is

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The first three terms of a geometric sequence are `x`, `y`,`z` and these have the sum equal to `42`. If the middle term `y` is multiplied by `5//4`, the numbers `x`, `(5y)/(4)`, `z` now form an arithmetic sequence. The largest possible value of `x` is

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