Question

If a,b,c,d,e are in A.P.,then the value of a -4b+6c 4d + c ( a) o ( b) 1 ( c) -1 (d) 2​

Answer 1

let d is the common difference and x is the first term of AP

a=x

b=x+d

c=x+2d

d=x+3d

e=x+4d

now ,

a-4b+6c-4d+e=x-4(x+d)+6 (x+2d)-4 (x+3d)+(x+4d)

=x-4x-4d+6x+12d-4x-12d+x+4d

=x-4x+6x-4x+x=0

option a is the correct answer