Home
Class 10
MATHS
Sum of n terms of the series sqrt(2)+...

Sum of `n` terms of the series `sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32)+\ ddot` is `(n(n+1))/2` (b) `2n(n+1)` (c) `(n(n+1))/(sqrt(2))` (d) `1`

Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA|Exercise All Questions|251 Videos

  • CIRCLES

    RD SHARMA|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

What is the sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32)+...

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

The sum n terms of the series (1)/(sqrt(1)+sqrt(3))+(1)/(sqrt(3)+sqrt(5))+(1)/(sqrt(5)+sqrt(7))+... is sqrt(2n+1) (b) (1)/(2)sqrt(2n+1)(c)(1)/(2)sqrt(2n+1)-1(d)(1)/(2){sqrt(2n+1)-1}

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ . . . . .+(1)/(sqrt(n^(2)-1)+sqrt(n^(2))) equals

lim_(n rarr4)(sqrt(2n+1)-3)/(sqrt(n-1)-sqrt(2))

Sum of the first n terms of an A.P. having positive terms is given by S_n=(1+2T_n)(1-T_n) (where T_n is the nth term of the series). The value of T_2^2 is (A) (sqrt(2)+1)/(2sqrt(2)) (B) (sqrt(2)-1)/(2sqrt(2)) (C) 1/(2sqrt(2)) (D) none of these

The sum of the infinte series sin^(-1)((1)/(sqrt(2)))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+...sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))

n in N((1+i)/(sqrt(2)))^(8n)+((1-i)/(sqrt(2)))^(8n)=

If n in N((1+i)/(sqrt(2)))^(8n)+((1-i)/(sqrt(2)))^(8)n is

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. If the first term of an A.P. is 2 and common difference is 4, then ...

    Text Solution

    |

  2. The number of terms of the A.P. 3,\ 7,\ 11 ,\ 15 ,\ ddot to be take...

    Text Solution

    |

  3. Sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32)+\ dd...

    Text Solution

    |

  4. The 9t h term of an A.P. is 449 and 449th term is 9. The term which...

    Text Solution

    |

  5. The n t h term of an A.P., the sum of whose n terms is Sn , is Sn+S...

    Text Solution

    |

  6. The common difference of an A.P., the sum of whose n terms is Sn , i...

    Text Solution

    |

  7. If the sums of n terms of two arithmetic progressions are in the...

    Text Solution

    |

  8. If Sn denote the sum of n terms of an A.P. with first term a and...

    Text Solution

    |

  9. If the first term of an A.P. is a and n t h term is b , then its c...

    Text Solution

    |

  10. The sum of first n odd natural numbers is 2n-1 (b) 2n+1 (c) n^2 ...

    Text Solution

    |

  11. Two A.P.’s have the same common difference. The first term of one o...

    Text Solution

    |

  12. If 18 ,\ a ,\ b ,\ -3 are in A.P., the a+b= (a) 19 (b) 7 (c) 11 (d...

    Text Solution

    |

  13. If (5+9+13+\ ddotto\ n\ t e r m s)/(7+9+11+\ ddotto\ (n+1)t e r m s)=(...

    Text Solution

    |

  14. The sum of n terms of an A.P. is 3n^2+5n , then 164 is its (a) 2...

    Text Solution

    |

  15. If the n^(t h) term of an A.P. is 2n+1 , then the sum of first n...

    Text Solution

    |

  16. If 18 t h and 11 t h term of an A.P. are in the ratio 3\ :2 , then ...

    Text Solution

    |

  17. The sum of first 20 odd natural numbers is (a) 100       (b) 210  ...

    Text Solution

    |

  18. The common difference of the A.P. is 1/(2q),(1-2q)/(2q),(1-4q)/(2q)...

    Text Solution

    |

  19. The common difference of the A.P. 1/3,(1-3b)/3,(1-6b)/3,\ dot is 1/...

    Text Solution

    |

  20. The common difference of the A.P. 1/(2b),(1-6b)/(2b),(1-12 b)/(2b),......

    Text Solution

    |