Three positive real numbers are simultaneously in arithmetic progression and in…

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Three positive real numbers x, y, zx,\,y,\,z are simultaneously in arithmetic progression and in geometric progression. Which of the following statements must then be true about the numbers? (a) x:y:z=1:2:4x:y:z = 1:2:4 (b) x:y:z=1:2:3x:y:z = 1:2:3 (c) x=y=zx=y=z (d) xyz=(x+y+z)2xyz = (x+y+z)^2

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