If the p^(th), q^(th), and r^(th) of a H.P is a,b,c respectively, then prove that(q-r) /a + (r-p) / b + (p-q)/c = 0?
1 Answer
Aug 21, 2017
Please see below.
Explanation:
Before we commence with the question, two things first.
- If
a_m anda_n arem^(th) andn^(th) terms of an Arithmetic Progression, whose common difference isd , thena_m-a_n=(m-n)d . - If
h_1,h_2,h_3,h_4,..... are in H.P., then1/h_1,1/h_2,1/h_3,1/h_4,..... are in A.P.
Hence, as
or
Similarly
and
Hence
=
=
=