Home
Class 12
MATHS
The sum of the first n terms of the seri...

The sum of the first `n` terms of the series `1/(sqrt(2) + sqrt(5)) + 1/(sqrt(5) + sqrt(8)) + 1/(sqrt(8) + sqrt(11)) +...` is

A

`1/3(sqrt(3n + 2) - sqrt(2))`

B

`sqrt(3n + 2) - sqrt(2)`

C

`sqrt(3n + 2) + sqrt(2)`

D

`1/3(sqrt(2) - sqrt(3n + 2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

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

The sum up to n terms of the series 1/(sqrt(1) + sqrt(3)) + 1/(sqrt(3) + sqrt(5)) + 1/(sqrt(5) + sqrt(7)) +… is:

Sum of n terms of the serise sqrt(2) + sqrt(8) + sqrt(18) + sqrt(32) + .... is

The sum upto n terms of the series sqrt(3) + sqrt(12) + sqrt(27) + sqrt(48) +… is:

The sum of 10 terms of the series sqrt(2) + sqrt(6) + sqrt(18) + .... is

Sum of first 'n' terms of the series sqrt(2)+sqrt(8)+sqrt(18)+… is ___.

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. The coefficient of x in the expansion of (1 + x)(1 + 2x)(1 + 3x) ... ...

    Text Solution

    |

  2. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

    Text Solution

    |

  3. The sum of the first n terms of the series 1/(sqrt(2) + sqrt(5)) + 1/(...

    Text Solution

    |

  4. The H.M. of two numbers is 4. their A.M ia A and G.M. is G. If 2A + G^...

    Text Solution

    |

  5. If a, b, c are in G.P. and x, y are the arithmetic mean of a, b and b,...

    Text Solution

    |

  6. A student read common difference of are A.P. as -3 instead of 3 and ob...

    Text Solution

    |

  7. If a(1), a(2) …… a(n) = n a(n - 1), for all positive integer n gt= 2, ...

    Text Solution

    |

  8. If a(1), a(2), ……., a(n) are in A.P. with common differece d != 0, the...

    Text Solution

    |

  9. Let a be a positive number such that the arithmetic mean of a and 2 e...

    Text Solution

    |

  10. If the sum to first n terms of the A.P. 2, 4, 6, …. is 240, then the v...

    Text Solution

    |

  11. The value of 1/(sqrt(10) - sqrt(9)) - 1/(sqrt(11) - sqrt(10)) + 1/(sqr...

    Text Solution

    |

  12. An A.P. consists of 23 terms. If the sum of the three terms Is the mid...

    Text Solution

    |

  13. If a(1), a(2), a(3), ......... , are in A.P. with common difference 5 ...

    Text Solution

    |

  14. The sum of all two digit natural numbers which leave a remainder 5 whe...

    Text Solution

    |

  15. If the 9^(th) term of A.P. is zero, then the ratio of 29^(th) term to ...

    Text Solution

    |

  16. Let S(1), S(2), ...... S(101) be consecutive terms of A.P. If 1/(S(1)S...

    Text Solution

    |

  17. If a(1), a(2), a(3), ……. , a(n) are in A.P. and a(1) = 0, then the val...

    Text Solution

    |

  18. The value of 1^(2) - 2^(2) + 3^(2) - 4^(2) + ….. + 11^(2) is equal to

    Text Solution

    |

  19. Let s(n) denote the sum of first n terms of an A.P. and S(2n) = 3S(n)....

    Text Solution

    |

  20. The first four terms of an A.P. are a, 9, 3a - b, 3a + b. The 2011^(th...

    Text Solution

    |