Question

Five geometric means between 32/9 and 81/2.

Answer 1

Answer:

Step-by-step explanation:

32/9  a(1)  a(2)   a(3)   a(4)   a(5)   81/2

.................................................................

32/9 ×d = a(1)

a(5)×d=81/2

...........................

32/9 ×d^6 =81/2

d^6 = (81/2)/(32/9) = (9×81 / 32×2) = 729/64

d= 3/2

..............................................................................

a(1)= 32/9× 3/2 = 16/3

a(2) = 16/3 ×3/2 = 8

a(3) = 8×3/2 = 12

a(4) = 12×3/2= 18

a(5)= 18×3/2 = 27

.........................................................................................

then |:/

32/9 , 16/3 , 8 , 12 , 18 , 27 , 81/2