If a, b and c are in continued proportion, then ` a^(2) : b^(2)` is

(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 and c are in continued proportion, prove that : (i) (a^(2) + ab + b^(2))/(b^(2) + bc + c^(2)) = (a)/(c) (ii) (a^(2) + b^(2) + c^(2))/((a + b + c)^(2)) = (a - b + c)/(a + b + c) .

If 25, 35 and p are in continued proportion, then the value of p is ________. A) 60 B) 75 C) 49 D) 50

If a,b,c and e are in continued proportion , then a/e is equal to

If a, b, c be in continued proportional, then prove that a^2 b^2 c^2 (1/a^3 + 1/b^3+1/c^3) =a^3 +b^3+c^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 are in continued proportion, then show that 1/b^2= 1/(b^2-a^2)+1/(b^2-c^2)

If a, b, c, d, e are in continued proportion, then a/e is equal to:

If a,b,c are in continued proportion, then prove that a/(a+2b)=(a-2b)/(a-4c)

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