Theory of Intelligence
11TH•Mathematics•Sequences And Series•Question 2

Overview

Insert four real geometric means between 3 and 96.

Insert 4 real G.Ms between 3 and 96.

Sequence: (3,\ G_1,G_2,G_3,G_4,\ 96) (6 terms)

[ 96=3\cdot r^5\implies r^5=32\implies r=2 ]

G.Ms: (6,\ 12,\ 24,\ 48)

Answer: (6,12,24,48)

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