Let the `n^(th)` term of a series be given by `t_n = (n^2 -n-2)/(n^2+3n),n leq 3`. Then product `t_3 t_4 .....t_50` is equal to

Let r^(th) term t _(r) of a series if given by t _(c ) = (r )/(1+r^(2) + r^(4)) . Then lim _(n to oo) sum _(r =1) ^(n) t _(r) is equal to :

Find the sum of n terms of the series whose n t h term is: 2n^2-3n+5

Find the sum of n terms of the series whose n t h term is: 2n^2-3n+5

Let n_(th) term of the sequence be given by t_n = ((n+2)(n+3))/4 Assertion: 1/t_1+1/t_2+………..+1/t_2009=2009/1509 , Reason: 1/((n+2)(n+3))= 1/(n+2)-1/(n+3) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Let n_(th) term of the sequence be given by t_n = ((n+2)(n+3))/4 Assertion: 1/t_1+1/t_2+………..+1/t_2009=2009/1509 , Reason: 1/((n+2)(n+3))= 1/(n+2)-1/(n+3) (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

If t_(n)" is the " n^(th) term of an A.P., then t_(2n) - t_(n) is …..

Write first five terms of the sequence {t_n} if t_n=2n^2-n+1

Find the sum to n terms of the series, whose n^(t h) terms is given by : (2n-1)^2

Find the sum of 'n' terms of the series whose n^(th) term is t_(n) = 3n^(2) + 2n .

Find the sum of 'n' terms of the series whose n^(th) term is t_(n) = 3n^(2) + 2n .