Home
Class 10
MATHS
If S1 is the sum of an AP of 'n' odd num...

If `S_1` is the sum of an AP of 'n' odd number of terms and `S_2` be the sum of the terms of series in odd places of the same AP then `S_1/S_2` =

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA ENGLISH|Exercise All Questions|251 Videos

  • CIRCLES

    RD SHARMA ENGLISH|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

In an A.P. of 99 terms, the sum of all the odd-numbered terms is 2550. Then find the sum of all the 99 terms of the A.P.

Write the n t h term of an A.P. the sum of whose n terms is S_n .

An AP, GP , HP have same first and last term and same odd number of terms .middle term of three series are in

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is

If S_1 be the sum of (2n+1) term of an A.P. and S_2 be the sum of its odd terms then prove that S_1: S_2=(2n+1):(n+1)dot

If S_n , be the sum of n terms of an A.P ; the value of S_n-2S_(n-1)+ S_(n-2) , is

If S_n denotes the sum of first n terms of an A.P., prove that S_(12)=3(S_8-S_4) .

in an AP , S_p=q , S_q=p and S_r denotes the sum of the first r terms. Then S_(p+q)=

If S denotes the sum of an infinite G.P. adn S_1 denotes the sum of the squares of its terms, then prove that the first term and common ratio are respectively (2S S_1)/(S^2+S_1)a n d(S^2-S_1)/(S^2+S_1) .

The number of terms of an A.P. is even; the sum of the odd terms is 310; the sum of the even terms is 340; the last term exceeds the first by 57. Then,

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Let Sn denote the sum of n terms of an AP whose first term is a. If co...

    Text Solution

    |

  2. If the first, second and last term of an A.P. are a ,\ b and 2a res...

    Text Solution

    |

  3. If S1 is the sum of an AP of 'n' odd number of terms and S2 be the sum...

    Text Solution

    |

  4. If in an A.P., Sn=n^2p and Sm=m^2p , where Sr denotes the sum of...

    Text Solution

    |

  5. Let Sn denotes the sum of the first of n terms of A.P. and S(2n)=3Sn ...

    Text Solution

    |

  6. in an AP , Sp=q , Sq=p and Sr denotes the sum of the first r terms. Th...

    Text Solution

    |

  7. If Sr denotes the sum of the first r terms of an A.P. Then, S(3n...

    Text Solution

    |

  8. If the first term of an A.P. is 2 and common difference is 4, then ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The n t h term of an A.P., the sum of whose n terms is Sn , is (a) S...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |