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)log a+(r-p)log b+(p-q)log c=0

(iii) If a,bc are respectively the pth,qth and rth terms of the given G.P. then show that (q-r)log a+(r-p)log b+(p-q)log c=0, where a,b,c>0.

If a,b,c are respectively the p^(th), q^(th) and r^(th) terms of the given G.P. then show that (q - r) log a + (r - p) log + (p - q) log c = 0, where a, b, c gt 0

If the p^(th),q^(th) and r^(th) terms of a H.P.are a,b,c respectively,then prove that (q-r)/(a)+(r-p)/(b)+(p-q)/(c)=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

If a , b , c are all positive and are p t h ,q t ha n dr t h terms of a G.P., then that =|loga p1logb q1logc r1|=0

If a,b,c are positive and ar the p^(th),q^(th),r^(th) terms respectively of a G.P show that, |{:(,log a,p,1),(,log b,q,1),(,log c,r,1):}|=0

If a gt0, bgt0,cgt0 are respectively the p^("th"),q^("th"),r^("th") terms of a G.P.,. Then the value of the determinant |{:(loga, p,1),(logb,q,1),(logc,r,1):}| is