Question

insert 5 geometric means b/w 16 and 1/4​

Answer 1

Answer:

8, 4, 2, 1, 1/2

Step-by-step explanation:

Inserting 5 Geometric Means(G.Ms) between two numbers means there are a total of 7 terms

$a=16\\a_{7}=ar^{7-1}=16r^6=\frac{1}{4}\\=>r^6=\frac{1}{64}\\=>r=\frac{1}{2}$

Therefore the 5 G.Ms are 8, 4, 2, 1, 1/2