[" If "a,b,c" are the "p" th,"q" th and "r" th terms of an A.P.and a G.P.both,prove that "],[a^(b)b^(c)c^(a)=a^(c)b^(a)c^(b)" ."]

If a b c are the p^(th),q^(th) and r^(th) terms of an AP then prove that sum a(q-r)=0

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

If a,b,c are p^(th),q^(th) and r^(th) term of an AP and GP both,then the product of the roots of equation a^(b)b^(c)c^(a)x^(2)-abcx+a^(c)b^(c)c^(a)=0 is equal to:

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

If a,b,c are respectively the p^(th),q^(th),r^(th) terms of an A.P.,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 the 4th, 7th and 10th terms of a G.P. are a, b, c respectively, then

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 .

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

If the p^th , q^th and r^th terms of a GP are a,b,c respectively, show that a^(q-r)b^(r-p)c^(p-q)=1