If arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3…

MATHEMATICS · Subjective · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

m

arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that 4th A.M. is equal to 2nd G.M., then

m

is equal to ____.