Question

if 3,x,y,18 are ap .find the value of x and y

Answer 1

Solution :

3,x,y and 18 are in AP

To finD

Values of x and y

Common Difference would be the same

Now,

18 - y = y - x

》 x - 2y = - 18.............(1)

Also

y - x = x - 3

》 2x - y = - 3............(2)

Multiplying equation (2) by 2,

》 4x - 2y = - 6...........(3)

Subtracting equations (1) and (3),

》3x = 24

》 x = 8

Putting x = - 8 in (1),

》 2y = 26

》 y = 13

The sequence would be 3,8,13 and 18

Answer 2

Answer:

a=3 d=x-3

AP=a+(n-1)d

18=3+ (4-1)d

18=3 +3d

15=3d

d=5

x=d+3

x=5+3

x=8

y=a1+d

y=8+5

y =13