Question

If 8,x,y ,-4 are in A.p find x and y

Answer 1

Explanation:

firstly, 8+d=x and y+d= -4 where d is the common difference of the AP.

Also,

x+d=y;

therefore d=y-x;

so,

8+y-x=x (from the first equation)

=>8+y=2x

=>y=2x-8

Now from the second equation,

y+d= -4

(2x-8)+(y-x)= -4

=>x-8+2x-8= -4

=>3x=12

=>x=4

similarly,

y=2(4)-8

=>y=0