Question

if a, b, c, x, e and f are in ap then e-c is​

Answer 1

Answer:

We have given a,b,c,d,e,f are in A.P So,

let common difference = x so,

a+x=b a+2x=c a+3x = d a+4x = e a+5x = f

=> e-c = a+4x-a-2x = 2x ---------(1) => d-c = a+3x-a-2x = x --------(2) so from 1 and 2 we get e-c = 2(d-c)