Home
Class 11
MATHS
The sum of 50 terms of the series 1+2(1+...

The sum of 50 terms of the series `1+2(1+1/(50))+3(1+1/(50))^2+` is given by (A) `2500` (B) `2550` (C) `2450` (D) none of these

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

The sum to n terms of the series 1+2(1+1/n)+3(1+1/n)^2+....... is given by

The sum to n terms of the series [1. (1!)+2. (2!)+ 3.(3!)+…] is-

The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))+ is

The sum of 10 terms of the series (x+1/x)^2+(x^2+1/x^2)^2+(x^3+1/x^3)^2+.... is

Find the sum to n terms of the series in whose n^(th) terms is given by (2n-1)^2

Find the sum of n terms of the series 1/2.5+1/5.8+1/8.11 …to n terms.

The sum of the series: 1/(1.2) -1/(2.3) +1/(3.4)-1/(4.5) ………. infty is:

The 15th term of the series 2 1/2+1 7/(13)+1 1/9+(20)/(23)+.... i s (10)/(39) b. (10)/(21) c. (10)/(23) d. none of these

Find the sum to n terms of the series : 1+ (1+4) +(1+4+4^(2)) + (1+4+4^(2) + 4^(3))+…

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Does there exist a GP containing 27,8 and 12 as three of its terms ? I...

    Text Solution

    |

  2. Find three numbers a,b,c between 2 & 18 such that; their sum is 25; th...

    Text Solution

    |

  3. The sum of 50 terms of the series 1+2(1+1/(50))+3(1+1/(50))^2+ is giv...

    Text Solution

    |

  4. The sum of 50 terms of the series 3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+...

    Text Solution

    |

  5. Which term of the AP 3,10, 17,... will be 84 more than its 13th term?

    Text Solution

    |

  6. The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is:...

    Text Solution

    |

  7. If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmet...

    Text Solution

    |

  8. Find the number of multiples of 4 lies between 10 and 250.

    Text Solution

    |

  9. Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^3+ to n t...

    Text Solution

    |

  10. Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1...

    Text Solution

    |

  11. If k, 2(k+1), 3(k+1) are in GP, Then find the value of k.

    Text Solution

    |

  12. If the first and the nth terms of a G.P are a and b , respectively, an...

    Text Solution

    |

  13. Find the sum of first 10 evenwhole number.

    Text Solution

    |

  14. Find the sum of the natural numbers less than 100, which are divisible...

    Text Solution

    |

  15. If the terms of the A.P, sqrt(a-x),sqrt(x),sqrt(a+x) are all in integ...

    Text Solution

    |

  16. For a ,x ,>0 prove tht at most one term of the G.P. sqrt(a-x),sqrt(x),...

    Text Solution

    |

  17. If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1/1^2+1/3^2+1...

    Text Solution

    |

  18. Coefficient of x^(18) in (1+x+2x^2+3x^3++18 x^(18))^2 equal to 995 b. ...

    Text Solution

    |

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

    Text Solution

    |

  20. If the sum of the first 2n terms of the AP 2,5,8.....is equal to the s...

    Text Solution

    |