Home
Class 11
MATHS
The sum of 50 terms of the series 3/(1^2...

The sum of 50 terms of the series `3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+...........` is (a).`(100)/(17)` (b). `(150)/(17)` (c). `(200)/(51)` (d). `(50)/(17)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

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

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

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

Find the sum to n terms of the series: 3/(1^2 .2^2)+5/(2^2 .3^2)+7/(3^2 .4^2)+......

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

Write the sum of 20 terms of the series: 1+1/2(1+2)+1/3(1+2+3)+

Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^(2)+2^(2)+3^(3))+"......." is

Sum to n terms the series 1 + (1+ 2) + (1 + 2 + 3) + (1 + 2 + 3 + 4).......

Sum to n terms of the series 1^(3) - (1.5)^(3) +2^(3)-(2.5)^(3) +…. is

the sum 3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+....... upto 11 terms

Sum of n terms the series : 1^2-2^2+3^2-4^2+5^2-6^2+

Sum of n terms of the series (2n-1)+2(2n-3)+3(2n-5)+... is

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Find three numbers a,b,c between 2 & 18 such that; their sum is 25; th...

    Text Solution

    |

  2. Find the sum 1+2(1+1/50)+3(1+1/50)^(2)+…50 terms.

    Text Solution

    |

  3. 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

    |

  4. If a1, a2, an are in A.P. with common difference d!=0 , then the sum ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If a ,ba n dc are in A.P., and pa n dp ' are respectively, A.M. and ...

    Text Solution

    |

  8. Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^2+ ton te...

    Text Solution

    |

  9. If the sum of n terms of the series (2n+1)/(2n-1)+3((2n+1)/(2n-1))^...

    Text Solution

    |

  10. Let x=1+3a+6a^2+10 a^3+ ,|a|<1. y=1+4b+10 b^2+20 b^3+ ,|b|<1. Find S...

    Text Solution

    |

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

    Text Solution

    |

  12. Along a road lie an odd number of stones placed at intervals of 10 met...

    Text Solution

    |

  13. Find a three – digit number such that its digits are in increasing G.P...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If 1/(1^2)+1/(2^2)+1/(3^2)+ .......=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/...

    Text Solution

    |

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

    Text Solution

    |

  18. Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...

    Text Solution

    |

  19. If the sum of the first 2n terms of the A.P. 2, 5, 8, ..., is equal to...

    Text Solution

    |

  20. Statement 1: If the arithmetic mean of two numbers is 5/2 geometric ...

    Text Solution

    |