If a,b,c,d are in G.P show that each of the following three term are also in G.P `a^2+b^2+c^2,ab+bc+cd,b^2+c^2+d^2`.

If a,b,c,d are in G.P show that each of the following three term are also in G.P a^2-b^2,b^2-c^2,c^2-d^2 .

If a,b,c,d are in G.P show that each of the following three term are also in G.P a^2+b^2,b^2+c^2,c^2+d^2 .

If a,b,c,d are in G.P show that each of the following three term are also in G.P a+b,b+c,c+d .

If a,b,c,d are in G.P show that each of the following three term are also in G.P (a-b)^2,(b-c)^2,(c-d)^2 .

If a, b, c, d are in G.P., show that each of the following three term are also in G.P. a+b,b+c,c+d .

If a,b,c,d are in G.P show that each of the following three term are also in G.P a^n+b^n,b^n+c^n,c^n+d^n .

If a,b,c,d are in G.P show that each of the following three term are also in G.P 1/(a^2+b^2),1/(b^2+c^2),1/(c^2+d^2) .

If a, b, c, d are in G.P., show that each of the following three term are also in G.P. a^3+b^3,b^3+c^3,c^3+d^3 .

If a,b,c,d are in G.P show that each of the following three term are also in G.P 1/(a^3+b^3),1/(b^3+c^3),1/(c^3+d^3) .

If a,b,c,d are in G.P than show that ab,ca,bc,bd are also in G.P.