Let (x, ,y, ,z ) be three positive real numbers that are in both arithmetic…
MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series
Problem
Let x,y,z be three positive real numbers that are in both arithmetic progression and geometric progression.
(i) Prove that x=y=z.
(ii) Using the result of part (i), determine all triples of positive real numbers whose sum is 15 and that can simultaneously be in arithmetic progression and geometric progression.