Question

there are five geometric mean between a and b. if second and last mean are 2 and 16 respectively, find the value of a and b.​

Answer 1

Answer:

a = 1/2, b = 32.

Step-by-step explanation:

Second = a1r  and fifth = a1r^4   where  r = common ratio   and  a1 is the first mean after a.

So 1ar^4 / a1r = r^3 = 16/2

r^3 = 8

r = 2.

So a1 = 1.

The 5 means are 1, 2, 4, 8, 16

S0 a = 1/2 = 1/2 and b = 2*16 = 32.