If `a,b,c,d ,e` are +ve real numbers such that `a+b+c+d+e=8 and a^2 + b^2 +c^2 + d^2 +e^2 = 16`, then the range of 'e' is

If a,b,c,d,e are +ve real number such that a+b+ c+ d+e= 8 and a^(2) + b^(2) + c^(2) + d^(2) + e^(2) = 16 then the range of 'e' is

If a, b, c, d, e are positive real numbers, such that a + b +c + d + e = 8 and a^2 + b^2 + c^2 + d^2 + e^2 = 16 , find the range of e.

If a,b,c,d,e are positive real numbers such that,a+b+c+d+e=15 and ab^(2)c^(3)d^(4)e^(5)=(120)^(3).50 then the value of a^(2)+b^(2)+c^(2)+d^(2)+e^(2) is

Let a,b,c,d and e be positive real numbers such that a+b+c+d+e=15 and ab^2c^3d^4e^5=(120)^3xx50 . Then the value of a^2+b^2+c^2+d^2+e^2 is ___________.

Let a,b,c,d and e be positive real numbers such that a+b+c+d+e=15 and ab^2c^3d^4e^5=(120)^3xx50 . Then the value of a^2+b^2+c^2+d^2+e^2 is ___________.

Let a,b,c,d and e be positive real numbers such that a+b+c+d+e=15 and ab^2c^3d^4e^5=(120)^3xx50 . Then the value of a^2+b^2+c^2+d^2+e^2 is ___________.

If a, b, c, d, e be 5 numbers such that a, b, c are in AP, b, c, d, are in GP & c, d, e are in HP then (i) Prove that a,c,e are in GP. (ii) Prove that e=(2b-a)^2//a . (iii) If a=2& e=18 , find all possible vlaues of b,c,d.

Let a,b,c,d,e, be real numbers such that a+b lt c+d , b+c lt d+e, c+d lt e+a, d+e lt a+b . Then

if a,b,c,d,e and f are six real numbers such that a+b+c=d+e+f a^2+b^2+c^2=d^2+e^2+f^2 and a^3+b^3+c^3=d^3+e^3+f^3 , prove by mathematical induction that a^n+b^n+c^n=d^n+e^n+f^n forall n in N .