Find the `a_(2) , a_(3), a_(4)`of the recurrence relation `a_(n)=2a_(1)+3^(n)` with `a_(1)=5`.

Find a_(3),a_(5),a_(8) if the n^(th) term is given by a_(n)=(-1)^(n)n

Find a_(1),a_(2),a_(3) if the n^(th) term is given by a_(n)=(n-1)(n-2)(3+n)

If the sequence {a_(n)} satisfies the recurrence a_(n+1)=3a_(n-1),n>=2,a_(0)=1,a_(1)=3 then a_(2007)=

The sequence a_(1),a_(2),a_(3),............*a_(98) satisfies the relation a_(n+1)=a_(n)+1 for n=1,2,3,..........97 and has the sum equal to 4949, Evaluate sum a_(2)k

If the sequence a_(1),a_(2),a_(3),dots a_(n),.... forms an A.P.then prove that a_(1)^(2)-a_(2)^(2)+a_(3)^(2)+...+a_(4)^(2)=(n)/(2n-1)(a_(1)^(2)-a_(2n)^(2))

If a_(n)=(n^(2))/(3n+2) , find a_(1)a_(5) .

Let A and B be two sets such that n(A) = 5 and n(B) = 2 . If (a_(1), 2), (a_(2), 3), (a_(3), 2), (a_(4), 3), (a_(5), 2) are in A xx B and a_(1), a_(2), a_(3), a_(4) and a_(5) are distinct, find A and B.

If a_(1),a_(2),a_(3), . . .,a_(n) are non-zero real numbers such that (a_(1)^(2)+a_(2)^(2)+ . .. +a_(n-1).^(2))(a_(2)^(2)+a_(3)^(2)+ . . .+a_(n)^(2))le(a_(1)a_(2)+a_(2)a_(3)+ . . . +a_(n-1)a_(n))^(2)" then", a_(1),a_(2), . . . .a_(n) are in