If `|A_(n xx n)|=3 and |"adj A"|=243`, what is the value of n?

If a_n = (a_(n-1) xx a_(n-2))/(2), a_5 = -6 and a_6 = -18 , what is the value of a_3 ?

In the sequence a_(n) the nth term is defined as (a_(n-1) - 1)^(2) . If a_(3) = 64 , then what is the value of a_(2) ?

A sequence of number a_1, a_2, a_3,…..,a_n is generated by the rule a_(n+1) = 2a_(n) . If a_(7) - a_(6) = 96 , then what is the value of a_(7) ?

In a sequence, the n^(th) term a_(n) is defined by the rule (a_(n-1) - 3)^(2), a_(1) = 1 what is the value of a_(4) ?

If a_(n+1)= (1)/(1-a_(n)) for n gt=1 and a_(3) = a_(1) then find the value of (a_(2001))^(2001) .

The terms of a sequence are defined by a_(n)=3a_(n-1)-a_(n-2) for n gt 2 . What is the value of a_(5) if a_(1)=4 and a_(2)=3 ?

Let (1+x)^(n) = 1+a_(1)x + a_(2)x^(2) + ……+ a_(n)x^(n) . If a_(1), a_(2) and a_(3) are in AP, then the value of n is

Let A = (a_(ij))_(n xx n) and adj A = (alpha_(ij)) If A = [{:(1,2,3),(4,5,4),(2,3,-1):}] , what is the value of alpha_(23) ?

If a_(1), a_(2), a_(3),….,a_(n) are in AP and a_(1) = 0 , then the value of ((a_(3))/(a_(2)) + (a_(4))/(a_(3)) +...+(a_(n))/a_(n-1))-a_(2) ((1)/(a_(2)) + (1)/(a_(3))+...+(1)/(a_(n-2))) is equal to a) (n-2) + (1)/((n-2)) b) (1)/((n-2)) c)(n - 2) d)(n - 1)