Home
Class 12
MATHS
If the sum of the series S=1+5/11+12/((1...

If the sum of the series `S=1+5/11+12/((11)^2)+22/((11)^3)+35/((11)^4)+.....oo ` can be expressed in the form of a rational number p/q in the lowest form, then the value of `(p+q)` equals (i) `2573` (ii)`2753` (iii)`2375` (iv) `2357`

A

2573

B

2753

C

2375

D

2537

Text Solution

Verified by Experts

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

If lim_(n rarr oo)sum_(k=1)^(n)(k^(2)+k)/(n^(3)+k) can be expressed as rational (p)/(q) in the lowest form then the value of (p+q), is

The value of (tan^(2)18^(@))(tan^(2)54^(@)) can be expressed as a rational number (p)/(q) in lowest form where p,q in N. Find the value of (p+q).

Let f(x)=(2x-pi)^(3)+2x-cos x .If the value of (d)/(dx)(f^(-1) (x)) at x=pi can be expressed in the form of (p)/(q) ( where p and q are natural numbers in their lowest form), then the value of (p+q) is

The sum of series 1 + 1/( 1 + 2) + 1/( 1 + 2 + 3) + ... upto 10 terms can be expressed in its lowest form as p/ q where p , q , ∈ I then the value of ( p − q ) is:

The sum of the series (4)/(1!)+(11)/(2!)+(22)/(3!)+(37)/(4!)+(56)/(5!) +..is

The rational number 10.11 in the form (p)/(q) is _________.

RESONANCE-DPP-QUESTION
  1. If y=1costheta+2cos2theta+3cos3theta++99 cos 99theta , the maximum val...

    Text Solution

    |

  2. Let alpha,beta,gamma and delta are four positive real numbers such tha...

    Text Solution

    |

  3. If the sum of the series S=1+5/11+12/((11)^2)+22/((11)^3)+35/((11)^4)+...

    Text Solution

    |

  4. Let [x] denote the greatest integer part of a real number x, if M sum(...

    Text Solution

    |

  5. Then sum sum(r=1)^(50) r.(2^(r)+2^(50-r)) equals

    Text Solution

    |

  6. lf abcd=1 where a,b,c,d are positive reals then the minimum value of ...

    Text Solution

    |

  7. Solve for x:log(2)(sin""(x)/(2))lt-1

    Text Solution

    |

  8. Suppose that P(x) is a quadratic polynomial such that P(0)=cos^3 40^@,...

    Text Solution

    |

  9. Let y=ax^2+ bx + c be a quadratic expression having its vertex at (3,-...

    Text Solution

    |

  10. Let y=ax^(2)+bx+c be a quadratic expression have its vertex at (3-2) a...

    Text Solution

    |

  11. Through the centriod of an equilateral triangle a line parallel to the...

    Text Solution

    |

  12. Let 'X' denotes the value of the product.(1+a+a^2+a^3+.........oo)(1+b...

    Text Solution

    |

  13. 50th term of the sequence 3+12+25+42+ is 5145 b. 5148 c. 5142 d. 5195

    Text Solution

    |

  14. Consider two quadratic expression f(x)=ax^(2)+bx+c and g(x)=ax^(2)+px+...

    Text Solution

    |

  15. Let alpha, beta be the roots of x^(2)-x+p=0and gamma,delta"be the root...

    Text Solution

    |

  16. Let f(theta) = 1/2 + 2/3 cosec^(2)theta + 3/8 sec^(2) theta. The least...

    Text Solution

    |

  17. If f(x)=(1-s in2x+cos2x)/(2cos2x) , then the value of f(16^0)dotf(29^0...

    Text Solution

    |

  18. If P = (tan(3^(n+1)theta) - tan theta) and Q = sum(r=0)^(n) (sin(3^(r)...

    Text Solution

    |

  19. Let a sequence whose n^(th) term is {a(n)} be defined as a(1) = 1/2 ...

    Text Solution

    |

  20. Which of the following are the solutons of equations 2sin 11x + cos 3x...

    Text Solution

    |