Question

If 3,A ,B,192 are consecutive terms of a Gp,find the value of A and B

Answer 1

Step-by-step explanation:

3 r^3 = 192 ... r^3 = 64

A = 3 r

B = 3 r^2

Answer 2

Step-by-step explanation:

3, a, b, 192 are parts of a geometric progression:

a1= 3

a2= 3*r = a

a3= 3*r^2 = b

a4= 3*r^3 = 192

==> 3r^3 = 192

Divide by 3:

==> r^3 = 192 /3 = 64

==> r^3 = 64

Now take the cubic root for both sides:

==> r= 4

Now let us calculater a and b

a2= a = 3*r = 3*4 = 12

a3= b = 3*r^2 = 3*4^2 = 3*16 = 48

==> a= 12 and b = 48

3, 12, 48, 192 are terms in a G.P where r = 4