# If the #p^(th), q^(th) and r^(th)# terms of an arithmetic progression are #P, Q, R# respectively, then #P(q-r) + Q(r-p) + R(p-q)# is equal to?

##### 1 Answer

Nov 29, 2016

#### Explanation:

The

thus, we can write

If we subtract

Thus

Similarly, we have

Substituting these into the given expression, we get

#=(P(Q-R))/d+(Q(R-P))/d+(R(P-Q))/d#

#=(PQ-PR + QR-PQ + PR-QR)/d#

#=(PQ-PQ+PR-PR+QR-QR)/d#

#=0/d#

#=0#