Question

if three geometric means are inserted between 120 and 15/2 what is geometric mean?​

Answer 1

Step-by-step explanation:

If there are 3 geometric means between 120 and ¹⁵/₂, then the sequence is:

120, 120r, 120r², 120r³, ¹⁵/₂

Therefore:

120r⁴ = ¹⁵/₂

r⁴ = ¹/₁₆

r = ½

The sequence is therefore:

120, 60, 30, 15, ¹⁵/₂