The sum of the first `p , q , r` terms of an A.P. are `a , b , c` respectively. Show that `a/p(q-r)+b/q(r-p)+c/r(p-q)=0`

The sum of the first p,q, rterms of an A.P are a,b, crespectively.Show that (a)/(p)[q-r]+(b)/(q)[r-p]+(c)/(r)[p-q]=0

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

If pth,qth and rth terms of an A.P.are a,b,c respectively,then show that (i) a(q-r) +b(r- p) +c(p-q)=0

Sum of the first p,q and r terms of an A.P are a,b and c,respectively.Prove that quad (a)/(p)(q-r)+(b)/(q)(r-p)+(c)/(r)(p-q)=0

The sum of first p.q.r terms of an AP are a;b;c respectively.Show that a(q-r)/(p)+b(r-p)/(q)+c(p-q)/(r)=0

The p^(th),q^(th) and terms of an A.P.are a,b,c,respectively.Show that quad (q-r)a+(r-p)b+(p-q)c=0

.2 (a) If pth,qth,rth term of an A.P.are a,b,c respectively,show that (q-r)a+(r-p)b+(p-q)c=0

If the pth, qth and rth terms of a G.P. are a,b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .

If the pth, qth and rth terms of an A.P. are a,b,c respectively , then the value of a(q-r) + b(r-p) + c(p-q) is :

If p^(th) , q^(th) , r^(th) term of an A.P is x,y and z respectively. Show that x(q-r)+y(r-p)+z(p-q)=0