Home
Class 11
MATHS
Sum of first 'n' terms of the series sqr...

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

A

`(n(n+1))/(2)`

B

`2n(n+1)`

C

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

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

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

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

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

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

Find the value of n, if the sum to n terms of the series sqrt(3) + sqrt(75) + sqrt(243) + ... 435sqrt(3) . Is

FULL MARKS-SAMPLE PAPER 13-PART
  1. If |x+2|le9, then x belongs to

    Text Solution

    |

  2. The value of 2log 10+3log2 is

    Text Solution

    |

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

    Text Solution

    |

  4. The coefficient of x^(6) in (2+2x)^(10) is

    Text Solution

    |

  5. If ""^(n)C(10)gt""^(n)C(r) for all possible r, then a value of n is

    Text Solution

    |

  6. The point on the line 2x-3y=5 is equidistance from (1,2) and (3,4) is

    Text Solution

    |

  7. The equation of the locus of the point whose distance from y-axis is h...

    Text Solution

    |

  8. A root of the equation |(3-x,-6,3),(-6,3-x,3),(3,3,-6-x)|=0 is

    Text Solution

    |

  9. If veca=hati+2hatj+2hatk,|vecb| =5 and the angle between veca and vecb...

    Text Solution

    |

  10. If veca=hati+hatj+hatk,vecb=2hati+xhatj+hatk,vecc=hati-hatj+4hatk and ...

    Text Solution

    |

  11. If lim(xto0)(sin3x)/(tankx)=5 then the value of k is

    Text Solution

    |

  12. Find Rf(0) for f(x)=|x| is

    Text Solution

    |

  13. int tan^(-1) sqrt((1 - cos 2x)/( 1 + cos 2 x )) dx is

    Text Solution

    |

  14. int(1)/(sqrt(3+4x))dx=

    Text Solution

    |

  15. Two items are chosen from a lot containing twelve items of which four ...

    Text Solution

    |

  16. If n(A)=10 and n(AcapB)=3, find n((AcapB)'capA).

    Text Solution

    |

  17. Are there two distinct irrational numbers such that their difference i...

    Text Solution

    |

  18. Find the value of tan 105^(@).

    Text Solution

    |

  19. Write the first 6 terms of the sequence whose n^(th) term is given by ...

    Text Solution

    |

  20. Show that the points (0,-(3)/(2)),(1,-1) and (2,-(1)/(2)) are collinea...

    Text Solution

    |