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Evaluation of a Determinant

33. X,y,z are...

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33. X,y,z are first 3 terms of increasing GP whose first term is x and common ratio are both poditive integers. Also x,y and z satisfy given relation then find the minimum possible vslue of x+y+z.

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4^{t h}, 10^{t h}

16^{t h}

terms of a GP are x, y and z respectively, then x,y,z are in :

x, y, z

are three consecutive terms of a

G P

x > 0

and the common ratio is

r

, then the inequality

z + 3 x > 3 y

Q. If x,y,z are

p t h

q t h

r t h

terms respectively, of an A.P. and also of G.P., then

x^{y - z} y^{z - x} z^{x - y}

If three positive real numbers x, y, z satisfy y - x = z - y and xyz = 4, then what is the minimum possible value of y ?

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