[" 52.If "a,b,c" are in G.P.,then show that "],[[" (i) "quad (a^(2)-b^(2))(b^(2)+c^(2))=(b^(2)-c^(2))(a^(2)+b^(2))]]

If a, b, c are in G.P. , then show that (i) (a^(2) - b^(2))(b^(2) + c^(2)) = (b^(2) -c^(2)) (a^(2) + b^(2)) (ii) a( b^(2) + c^(2)) = c (a^(2) + b^(2))

If a, b, c are in G.P. then show that b^(2 ) = a.c.

If a,b,c are in G.P., then show that : a(b^2+c^2)=c(a^2+b^2)

If a,b,c are in G.P., then show that a(b-c)^2=c(a-b)^2

If a,b,c are in G.P., then show that a(b-c)^2=c(a-b)^2

If a,b,c,d are in G.P.prove that: (i) quad (a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in G.P. (i) (1)/(a^(2)+b^(2)),(1)/(b^(2)+c^(2)),(1)/(c^(2)+d^(2)) are in G.P.

If a,b,c are in G.P., then show that : (a^2-b^2)(b^2+c^2)=(b^2-c^2)(a^2+b^2)

If a,b,c are in G.P., then show that : (a^2-b^2)(b^2+c^2)=(b^2-c^2)(a^2+b^2)

If a,b,c are in G.P then show that a(b^2-c^2)=c(a^2-b^2)

If a,b,c are in G.P then show that a(b^2+c^2)=c(a^2+b^2)