Question

If a,b,c , d are in gp then prove that a^2+b^2 ,b^2+ c^2,c^2+ d^2 are also in gp

Answer 1

Answer:

if a,b,c,d are in gp then, b^2=2ac

so, a.t.q. ..(b^2+c^2)^2=2×[a^2+b^2]× (c^2+d^2)

solve it and you will get your answer.