If `a, b, c, d` are in continued proportion, then `(a^3 + b^3 + c^3) / (b^3 + c^3 + d^3) = ` (i)`a/b` (ii)`b/c` (iii)`c/d` (iv)`a/d`

If a,b,c,d are in continued proportion,prove that: a:b+d=c^(3):c^(2)d+d^(3).

If a, b, c, d are in continued proportion, then prove that (b -c)^(2) + (c -a)^(2) + (b-d)^(2) = (a -d)^(2)

If a,b,c,d are in continued proportion then show that (b-c)^2+(c-a)^2+(b-d)^2= (a-d)^2 .

If a,b,c,d are in GP then prove that a(b-c)^3=d(a-b)^3 .

(i) If a , b , c are in continued proportion, show that : (a^(2) + b^(2))/(b(a+c)) = (b(a + c))/(b^(2) + c^(2)) . (ii) If a , b , c are in continued proportion and a(b - c) = 2b , prove that : a - c = (2(a + b))/(a) . (iii) If (a)/(b) = (c)/(d) show that : (a^(3)c + ac^(3))/(b^(3)d +bd^(3)) = ((a + c)^(4))/((b + d)^(4)) .

If a, b, c and d are in proportion, then show that (a^(3)+3ab^(2))/(3a^(2)b+b^(3))=(c^(3)+3cd^(2))/(3c^(2)d+d^(3))

If a/b = b/c = c/d , then show that (a - b)^(3) : (b - c)^(3) = a : d .

If a= 2b/3, b= 2c/3, and c=2d/3, then find the ratio of b and d:

If (2a+3b) (2c -3d) = (2a-3b) (2c+3d) then