Insert two geometric mean between 6 and 48 - Maths - Sequences and Series

Question

Insert two geometric mean between 6 and 48

Rashi Lokwani · Accepted Answer

Dear Student,

Let G1 and G2 be the two geometric means between 6 and 48
6 , G1 , G2 , 48a = 6, n = 4 and a4 = 48an = arn-1a4 = ar4-1 = ar3ar3 = 486r3 = 48 r3 = 486r3 = 8r = 83r = 2G1 =a2 = ar2-1 = ar1 = 6 × 2 = 12G2 =a3 = ar3-1 = ar2 = 6 × 22 = 6×4 = 24

Regards

Insert two geometric mean between 6 and 48.