Home
Class 11
MATHS
The sum of the numerical series 1/(sqrt3...

The sum of the numerical series `1/(sqrt3 + sqrt7) + 1/(sqrt7 + sqrt11) + 1/(sqrt11 + sqrt15) + ...` upto n terms is

A

`(sqrt(3 + 4n) - sqrt3)/4`

B

`n/(sqrt(3 + 4n) + sqrt3)`

C

less than n

D

greater than `sqrtn/2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

Do the product (sqrt3 + sqrt5) (sqrt6 + sqrt15)

The sum of the series (1)/(sqrt1+sqrt2)+ (1)/(sqrt2+ sqrt3)+ ...+ (1)/(sqrt(n)+sqrt(n+1)) is equal to-

Simplify: (1)/(sqrt2 +1) + (1)/(sqrt3 + sqrt2) + (1)/(sqrt4 + sqrt3)

Find the value of (sqrt11 + sqrt7) (sqrt11 -sqrt7)

Show that (sqrt5 + sqrt3)/(sqrt5 - sqrt3) - (sqrt5 - sqrt3)/(sqrt5 + sqrt3) = 2 sqrt15

Add: 2 + sqrt3, sqrt3 + sqrt5 and 2 + sqrt7

Which one is greater between (sqrt7 - sqrt5) and (sqrt13 - sqrt11) ?

Simplify: (3sqrt7)/(sqrt5 + sqrt2) - (5 sqrt5)/(sqrt2 + sqrt7) + (2 sqrt2)/(sqrt7 + sqrt5)

Which of (sqrt15 + sqrt3) and (sqrt10 + sqrt8) is greater ?

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. If x be the AM and y,z be two GM's between two positive numbers, then ...

    Text Solution

    |

  2. If In (a + c), In(c - a) , In(a - 2b + c) are in A.P., then

    Text Solution

    |

  3. The sum of the numerical series 1/(sqrt3 + sqrt7) + 1/(sqrt7 + sqrt11)...

    Text Solution

    |

  4. Suppose that F(n + 1) =(2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. T...

    Text Solution

    |

  5. The series of natural number is divided into groups 1 , 2, 3, 4,.........

    Text Solution

    |

  6. sum(i = 1)^n sum(j = 1)^i sum(k = 1)^j 1 is equal to

    Text Solution

    |

  7. The sides of a right angle triangle from a G.P. the tangent of the sma...

    Text Solution

    |

  8. If the first & the (2n + 1)th terms of an A.P. , a G.P & an H.P. of po...

    Text Solution

    |

  9. If the arithmetic mean of two positive numbers a & b (a gt b) is twice...

    Text Solution

    |

  10. If Sn denotes the sum to n terms of the series (1 le n le 9) 1 + 22 + ...

    Text Solution

    |

  11. If a , b , c are in H.P. , then

    Text Solution

    |

  12. Let S1 , S2,,,,, be squares such that for each n ge 1 the length of a ...

    Text Solution

    |

  13. Given a sequence t1 , t2 ,..... if its possible to find a function f(r...

    Text Solution

    |

  14. Given a sequence t1 , t2 ,..... if its possible to find a function f(r...

    Text Solution

    |

  15. Let a1, a2 , a3,...., am be the arithmetic means between -2 and 1027 a...

    Text Solution

    |

  16. Let a1, a2 , a3,...., am be the arithmetic means between -2 and 1027 a...

    Text Solution

    |

  17. If A, G and H are respectively arithmetic , geometric and harmonic mea...

    Text Solution

    |

  18. If A, G and H are respectively arithmetic , geometric and harmonic mea...

    Text Solution

    |

  19. Let a1,a2 ,a3 ...... be an A.P. Prove that sum(n=1)^(2m)(-1)^(n-1)an^2...

    Text Solution

    |

  20. A three digit number whose consecutive digits from a G.P. If we subtra...

    Text Solution

    |