[" 16) 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 .........."]

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 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 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 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 5^(th),8^(th) and 11^(th) terms of a G.P.are p,q and s respectively then

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 p^(th),q^(th) and r^(th) terms of an A.P.are in G.P. then the common ratio of G.P.is-

The 5^(th),8^(th) and 11^(th) terms of a G.P. are p,q and s respectively. Then q^2 =………