Question

If 2,x,y,54 are in gp then


common ratio is??

Answer 1

Answer:

Step-by-step explanation:

2,x,y and 54 are in GP it means;

x/2 = y/x = 54/y;

x/2 = 54/y; and x/2 = y/x;

by solving we get;

xy = 108 and y^2 = 54x;

y^2 = 54* (108/y);

y^3 = 54*108;

y = 18; and x = 6;

Common ratio = 54/18 = 3

Answer 2

Answer:

x=6 y =18

Step-by-step explanation:

given

2,x,y,54 are in Gp

hence ,

a=2

ar=x

ar²=y

ar³=54

hence ar³=54

r³=54/a

substitute a=2

we get

r³=54/2=27

so r=3

hence x=ar=2*3=6

y=ar²=2*3²=2*9=18