Question

insert 3 geometric mean between 9/4 and 4/9​

Answer 1

Answer:

3/2, 1, 2/3

Step-by-step explanation:

GP : 9/4, x, y, z, 4/9

a = a1 = 9/4 ; a5 = 4/9

but.....a5 = ar^4

means...

4/9 = 9/4 r^4

r^4 = 4×4/9×9 = 16/81

r^4 = (2/3)^4

r = 2/3

now....

x = a2 = ar = (9/4) (2/3) = 3/2

y = a3 = ar^2 = (9/4) (2/3)^2 = 1

z = ar^3 = (9/4) (2/3)^3 = 2/3

hence ...the geometric means are...

3/2, 1, 2/3