, , and are consecutive terms of a geometric sequence. If and , find the values of ,…

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

x

y

, and

z

are consecutive terms of a geometric sequence. If

x + y + z = \frac{7}{3}

and

x^2 + y^2 + z^2 = \frac{91}{9}

, find the values of

x

y

, and

z