If the equation `z^4+a_1z^3+a_2z^2+a_3z+a_4=0` where `a_1,a_2,a_3,a_4` are real coefficients different from zero has a pure imaginary root then the expression `(a_1)/(a_1a_2)+(a_1a_4)/(a_2a_3)` has the value equal to

If the equation z^(4)+a_(1)z^(3)+a_(2)z^(2)+a_(3)z+a_(4)=0 where a_(1),a_(2),a_(3),a_(4) are real coefficients different from zero has a pure imaginary root then the expression (a_(1))/(a_(1)a_(2))+(a_(1)a_(4))/(a_(2)a_(3)) has the value equal to

If a_1,a_2,a_3 and a_4 be any four consecutive coefficients in the expansion of (1+x)^n , prove that a_1/(a_1+a_2)+a_3/(a_3+a_4)= (2a_2)/(a_2+a_3)

If (a_2a_3)/(a_1a_4) = (a_2+a_3)/(a_1+a_4)=3 ((a_2 -a_3)/(a_1-a_4)) then a_1,a_2, a_3 , a_4 are in :

If a_1, a_2, a_3, .... a_4001 are terms of an A.P. such that 1/(a_1a_2)+1/(a_2a_3)+1/(a_3a_4)+......1/(a_4000a_4001)=10 and a_2+a_4000=50, then |a_1-a_4001| is equal to

Let the sequencea_1,a_2....a_n form and AP. Then a_1^1-a_2^2+a_3^2-a_4^2... is equal to

In an arithmetic sequence a_1 + a_3 = 12 and a_4+a_6 = 24 . Find the values of a and d

Evaluate: /_\ |[1+a_1, a_2, a_3],[a_1, 1+a_2, a_3],[a_1, a_2, 1+a_3]|