Home
Class 12
MATHS
Let the n^(th) term of a series be given...

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

A

`(1)/(5^(2).7.13.53)`

B

`(1)/(5.7^(2).12.53)`

C

`(1)/(5^(2).7.12.51)`

D

`(1)/(5.7^(2).13.53)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

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

RESONANCE-DPP-QUESTION
  1. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)...

    Text Solution

    |

  2. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  3. Let the n^(th) term of a series be given by tn = (n^2 -n-2)/(n^2+3n),n...

    Text Solution

    |

  4. a, b, c are the first three terms of geometric series. If the H.M. of ...

    Text Solution

    |

  5. Consider an A.P. a(1), a(2), "……"a(n), "……." and the G.P. b(1),b(2)"…....

    Text Solution

    |

  6. If sum(r=1)^(n) r(r+1) = ((n+a)(n+b)(n+c))/(3), where a gt b gt c, the...

    Text Solution

    |

  7. If 5 sinx cosy = 1 and 4 tan x = tany, then

    Text Solution

    |

  8. Solve : (i) -2 le ||x^(2) +1| -3 | le 7 (ii) |x^(2) - 4x| le 5

    Text Solution

    |

  9. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  10. Study carefully the graph of a certain function The graph corresp...

    Text Solution

    |

  11. If the r^(th) term of a series is 1 + x + x^2 + .......+ x^(r-1) , the...

    Text Solution

    |

  12. If sin(6/5x) = 0 and cos (x/5) = 0 , then

    Text Solution

    |

  13. If sn=(1-4/1)(1-4/9)(1-4/25)......(1-4/((2n-1)^2)), where n in N, th...

    Text Solution

    |

  14. If S(n) = 1 + 3 + 7 + 13 + 21 + "….." upto n terms, then

    Text Solution

    |

  15. If a,b,c,d,e are five positive numbers, then

    Text Solution

    |

  16. Solve : (i) |x^(2)-2x|le x , (ii) (x^(2)-9)(|x|-2)le0

    Text Solution

    |

  17. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  18. If the first and (2n-1)^(th) terms of an A.P, a G.P and an H.P of posi...

    Text Solution

    |

  19. f p,q, r are +ve and are in A. P., in the roots of quadratic equation ...

    Text Solution

    |

  20. In the given figure AB, BC, BD cannot be in

    Text Solution

    |