Question

The pth, qth and rth terms of an A.P. are a, b and c respectively.

Show that a(q – r) + b(r-p) + c(p – q) = 0
give me answer plz ​

Answer 1

Answer:

LHS = (a-b)r +(b-c)p + (c-a)q

= ar - br + bp - cp + cq - aq

= -(aq - ar) - (br - bp) - (cp - cq)

= - [a(q - r)+ b(r - p) + c(p - q)]