# If #p^th# , #q^th# , and #r^th# terms of a H.P are a,b,c respectively, then prove that #(q-r) / (a) + (r-p) / (b) + (p-q)/(c) = 0?

##### 1 Answer

Dec 17, 2017

Please see below.

#### Explanation:

As

Let the first term of this A.P. be

then **............(1)**

**............(2)**

and **............(3)**

Subtracting (2) from (1); (3) from (2) and (1) from (3), we ger

**............(A)**

**............(B)**

and **............(C)**

hence

=

=

=