[" If "a_(1)<(28)^((1)/(3))-3

If |(1+a_(1),a_(2),a_(3)),(a_(1),1+a_(2),a_(3)),(a_(1),a_(2),1+a_(3))|=0 then a_(1)+a_(2)+a_(3)=

If 0

If a_(n+1)=a_(n-1)+2a_(n) for n=2,3,4, . . . and a_(1)=1 and a_(2)=1 , then a_(5) =

Let a_(1), a_(2),a_(3), cdots , a_(4001) are in A.P. such that (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))+ cdots + (1)/(a_(4000) a_(4001))= 10 and a_(2)+ a_(4000) = 50 then find the value of |a_(1)-a_(4001)| .

" (iv) "|[1+a_(1),a_(2),a_(3)],[a_(1),1+a_(2),a_(3)],[a_(1),a_(2),1+a_(3)]|=1+a_(1)+a_(2)+a_(3).

If (1+x)^(n) = a_(0) + a_(1)x + a_(2)x^(2) + ....+a_(n)x^(n) , then (1+(a_(1))/(a_(0)))(1+(a_(2))/(a_(1)))(1+(a_(3))/(a_(2)))...(1+(a_(n))/(a_(n-1)))=

Suppose a_(1),a_(2),…a_(n) are positive real numbers which are in A.P. If (1)/(a_(1)a_(n))+(1)/(a_(2)a_(n-1))+…+(1)/(a_(n)a_(1)) =(lamda)/(a_(1)+a_(n))((1)/(a_(1))+(1)/(a_(2))+…+(1)/(a_(n)))" (1)" then lamda =

If 1, a_(1), a_(2). ..., a_(n-1) are n roots of unity, then the value of (1 - a_(1)) (1 - a_(2)) .... (1 - a_(n-1)) is :