Home
Class 12
MATHS
Find the sum up to 20 terms. 1+1/2(1+2)+...

Find the sum up to 20 terms. `1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+`

A

110

B

111

C

115

D

116

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • SEQUENCE AND SERIES

    VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos

  • REVISION TEST-2 JEE

    VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

Similar Questions

Explore conceptually related problems

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+dot+1/(ndot(n+1))

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+...............+1/(n.(n+1))

Find the sum to n terms of the series : 1/(1xx2)+1/(2xx3)+1/(3xx4)+dotdotdot

The sum up to 60 terms of 3/(1^2) + 5/(1^2 + 2^2) + 7/(1^2 + 2^2 + 3^2) + ……. is equal to

Find the sum to n terms of 3 (3)/(8) + 2 (1)/(4) + 1 (1)/(2)+ .....

Find the sum to n terms of the series 1//(1xx2)+1//(2xx3)+1//(3xx4)++1//n(n+1)dot

Find the sum of: 24 terms and n terms of 2 (1)/(2) , 3 (1)/(3) , 4 (1)/(6) ,5 ,......,

Find the sum of the following series: 1/2+1/(3^2)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+...+oo

Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

Find the sum to n terms of the series (1.2.3) + (2.3.4) + (3.4.5) ...

VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1
  1. A series whose n^(th) term is (n/x), then sum of r terms will be

    Text Solution

    |

  2. x gt0, then the sum of the series e^(-x)-e^(-2x)+e^(-3x)-... i s

    Text Solution

    |

  3. Find the sum up to 20 terms. 1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+

    Text Solution

    |

  4. Find the 1+2.2+3.2^2+…….+tn

    Text Solution

    |

  5. The sum of the first n terms of the series 1^2+2xx2^2+3^2+2xx 4^2+5^2+...

    Text Solution

    |

  6. sum(r=1)^n r (n-r +1) is equal to :

    Text Solution

    |

  7. The arithmetic mean between two numbers is A and the geometric mean is...

    Text Solution

    |

  8. If S(n)=1+(1)/(2)+(1)/(2^(2))+"..."+(1)/(2^(n-1)), then calculate the ...

    Text Solution

    |

  9. If a, b, c are positive real numbers, then the minimum value of a^(l...

    Text Solution

    |

  10. If an>1 for all n in N then log(a2) a1+log(a3) a2+.....log(a1)an has t...

    Text Solution

    |

  11. The least value of 2log100 a-loga 0.0001 , a >1

    Text Solution

    |

  12. If in a series tn=n/((n+1)!) then sum(n=1)^20 tn is equal to :

    Text Solution

    |

  13. Let f(n) = [1/2 + n/100] where [x] denote the integral part of x. Then...

    Text Solution

    |

  14. The value of sum(r=1)^n1/(sqrt(a+r x)+sqrt(a+(r-1)x)) is -

    Text Solution

    |

  15. Sum of the series 1+2^2x +3^2x^2 + 4^2x^3 …….to oo , |x| < 1 is :

    Text Solution

    |

  16. The sum of an infinite geometric series is 3. A series which is formed...

    Text Solution

    |

  17. if r>1 and x=a+a/r+a/r^2+...............oo , y=b-b/r+b/r^2-..............

    Text Solution

    |

  18. The odd value of n for which 704+1/2(704)+… upto n terms = 1984-1/2(1...

    Text Solution

    |

  19. If every even term of a series is a times the term before it and every...

    Text Solution

    |

  20. If a^x=b^y=c^z and a,b,c are in G.P. show that 1/x,1/y,1/z are in A.P.

    Text Solution

    |