[" 31.The pth,gth and rth terms of an A.P."],[" respectively."],[qquad (a-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 pth, qth and rth terms of an A.P. are l, m, n respectively, show that (q-r)l+(r-p)m+(p-q)n=0

If a , b and c b respectively the pth , qth and rth terms of an A.P. prove 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

If the pth, qth and rth terms of a G.P. are , l,m,n respectively , then l^(q-r)m^(r-p)n^(p-q) is :

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

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

If a , b ,and c are respectively, the pth, qth , and rth terms of a G.P., show that (q-r)loga+(r-p)logb+(p-q)logc=0.