Question

if a, b, c, l, m are in AP then the value of a-4b+6c-4l+m is​

Answer 1

Answer:

let a be the first term of A.P. & d is the common difference . Then, b = a+d , c= a+2d, l= a+3d, m=a+4d

Now , a-4b+6c-4l+m

putting the value of b,c,l,m

=a -4(a+d)+6(a+2d)-4(a+3d)+a+4d

=a-4a-4d+6a+12d-4a-12d+a+4d

=0.