the sum of three consecutive terms x,y and z of an arithmetic progression is 45.if y=1/2(x+z),find the value of y.

since they are consecutive, so
[tex]x=y-d,z=y+d[/tex] where d is a constant different of arithmetic sequence
[tex]x+y+z=45\\(y-d)+y+(y+d)=45\\3y=45\\y=15[/tex]