If the `m^(th),n^(th)andp^(th)` terms of an A.P. and G.P. be equal and be respectively x,y,z, then

If m^(th), n^(th) and p^(th) terms of an A.P and G.P be equal and be respectively x,y, z then………...................................................... a ) x^(y).y^(z).z^(x) = x^(z).Y^(x).z^(y) b ) (x-y)^(x).(y-z)^(y)= (z-x)^(z) c ) (x-y)^(z) (y-z)^(x)= (z-x)^(y) d ) None of these

If the m th, n th and p th terms of an AP and GP are equal and are x , y , z , then prove that x^(y-z) . y z^(x-y)=1 (1979, 3M)

If the m th, n th and p th terms of an AP and GP are equal and are x , y , z , then prove that x^(y-z) . y^(z-x) z^(x-y)=1

If the 4^(th),10^(th) and 16^(th) terms of a G.P. are x,y and z respectively ,then prove that x,y,z are in G.P.P.

If the 4 ^(th), 10^(th) and 16^ (th) terms of a G . P are x, y and z respectively. Prove that x, y, z are in G.P

If the p^(th) , q^(th) and r^(th) terms of a G.P. are x , y , z respectively. then show that : x^(q-r) . y^(r-p).z^(p-q)=1

If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal and their nth term are a,b,c respectively,then

If the 4th, 10th and 16th terms of a G.P. are x, y, and z respectively. Prove that x, y, z are in G.P.

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in G.P.

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in GP.