3, a, b, 192 are parts of a
gp
a1= 3 (1st term)
a2= 3*r =
a (2nd term), where are is the ratio
a3= 3*r^2 = b (3rd
term)
a4= 3*r^3 = 192 (4th
term)
==> 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
No comments:
Post a Comment