If `a ,b ,c` are in G.P. prove that `(a^n+b^n),(b^n+c^n),(c^n+d^n)` are in G.P.

If a ,b ,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) are in G.P.

If a ,b ,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) are in G.P.

If a, b, c, d are in G.P., prove that (a^n+b^n),(b^n+c^n),(c^n+a^n) are in G.P.

If a ,b ,c are in G.P., then prove that loga^n ,logb^n ,logc^n are in A.P.

If a ,b ,c ,d are in G.P., prove that a+b,b+c ,c+d are also in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d -c are in G.P.

If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c are in A.P. (b) a^2,b^2, c^2, are in A.P. (c) a ,b ,c are in G.P. (d) a ,b ,c are in H.P.

If x ,1,a n dz are in A.P. and x ,2,a n dz are in G.P., then prove that x ,a n d4,z are in H.P.