If A and G be A.M

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

29. If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are

\mathrm{A} \pm \sqrt{(\mathrm{A}+\mathrm{G})(\mathrm{A}-\mathrm{G})}