Solve this:
Q. In an AP, p t h ,   q t h   a n d   r t h terms are respectively a, b and c. Prove that
p (b - c) + q (c - a) + r (a - b) = 0

Dear Student,
 

Let the first term of an A.P. is m and common difference is d.

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

Subtracting equation (1) and (2) , we get,

Substitute value of d in equation (1), we get,

Substitute value of m and d in equation (3), we get,

 

from result (1),



Regards

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