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 the n^(th) term of a series be given by t_(n)=(n^(2)-n-2)/(n^(2)+3n),n<=3. Then product t_(3)t_(4).....t_(50) is equal to

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.

In a series, if t_n = (n^(2) -1)/(n+1) , then S_6 - S_3= _______.

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

If sum of n terms of a sequence is given by S_(n)=3n^(2)-5n+7&t_(r) represents its r^(th) term then

If the sum of first 24 terms of a sequence whose n^(th) term is given by t_(n) = 3+(2n)/3 is k , then what is the value of k ?

If t_n denotes the nth term of the series 2+3+6+11+18+….. Then t_50 is