If `a ,b ,c` are respectively the `p^(t h),q^(t h)a n dr^(t h)` terms of a G.P. show that `(q-r)loga+(r-p)logb+(p-q)logc=0.`

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.

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

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

If a , b , c are all positive and are pth ,qth and rth terms of a G.P., then show that =|(loga, p,1),(logb, q,1),(logc ,r,1)|=0

If the p^(t h) , q^(t h) and r^(t h) terms of a GP are a, b and c, respectively. Prove that a^(q-r)b^(r-p)c^(p-q)=1 .

If the p^(t h) , q^(t h) and r^(t h) terms of a GP are a, b and c, respectively. Prove that a^(q-r)""b^(r-p)""c^(p-q)=1 .

If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G.P., then show that (p-q),\ (q-r),\ (r-s) are also in G.P.

The 5^(t h) , 8^(t h) and 11^(t h) terms of a G.P. are p, q and s, respectively. Show that q^2=p s .

If a,b,c are positive and are the pth, qth rth terms respectively of a GP then |(loga,p,1),(logb,q,1),(logc, r,1)|=