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`

If the pth, qth and rt terms of an A.P. be x,y,z respectively show that: x(q-r)+y(r-p)+z(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 p^(th),q^(th) and r^(th) terms of G.P.are x,y,x respectively then write the value of x^(q-r)y^(r-p)z^(p-q)

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 the p^(th), q^(th) and r^(th) terms of a G.P are a,b,c respectively then the value of a^(q-r).b^(r-p).c^(p-q)=

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

If p^(th),q^(th) and r^(th) terms of an A.P and G.P are both a,b and c respectively then show that a^(b-c).b^(c-a).c^(a-b)=1

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