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

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

Find a_(1) and a_(9) if a_(n) is given by a_(n) = (n^(2))/(n+1)

If a_(1),a_(2),...a_(n) are in H.P then the expression a_(1)a_(2)+a_(2)a_(3)+...+a_(n-1)a_(n) is equal to

Find the indicated terms of the sequence whose n^(th) terms are : a_(n)=(-1)^(n-1)n^(3);a_(9)

If a_(i)gt0 for i u=1, 2, 3, … ,n and a_(1)a_(2)…a_(n)=1, then the minimum value of (1+a_(1))(1+a_(2))…(1+a_(n)) , is

Let the sequence a_(1),a_(2),a_(3),...,a_(n) from an A.P.Then the value of a_(1)^(2)-a_(2)^(2)+a_(3)^(2)-...+a_(2n-1)^(2)-a_(2n)^(2) is (2n)/(n-1)(a_(2n)^(2)-a_(1)^(2))(b)(n)/(2n-1)(a_(1)^(2)-a_(2n)^(2))(n)/(n+1)(a_(1)^(2)-a_(2n)^(2))(d)(n)/(n-1)(a_(1)^(2)+a_(2n)^(2))

If a_(1),a_(2),a_(3)….a_(n) are positive and (n-1)s = a_(1)+a_(2)+….+ a_(n) then prove that a_(1),a_(2),a_(3)…a_(n) ge (n-1)^(n)(s-a_(1))(s-a_(2))….(s-a_(n))

If a_(1),a_(2),a_(3),dots,a_(n+1) are in A.P.then (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))...+(1)/(a_(n)a_(n+1)) is

The sequence a_(1),a_(2),a_(3),....... satisfies a_(1)=1,a_(2)=2 and a_(n+2)=(2)/(a)(n+1),n=1,2,3,

If roots of an equation x^(n)-1=0 are e1,a_(1),a_(2),.....a_(n-1), then the value of (1-a_(1))(1-a_(2))(1-a_(3))(1-a_(n-1)) will be n b.n^(2) c.n^(n) d.0