Home
Class 10
MATHS
If Sn denote the sum of n terms of an ...

If `S_n` denote the sum of `n` terms of an A.P. with first term `a` and common difference `d` such that `(S_x)/(S_(k x))` is independent of `x` , then (a) `d=a` (b) `d=2a` (c) `a=2d` (d) `d=-a`

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

Find the mean of first n terms of an A.P. whose first term is a and common difference is d.

If S_(n) denote the sum to n terms of an A.P. whose first term is a and common differnece is d , then S_(n) - 2S_(n-1) + S_(n-2) is equal to

If the sum of n terms of an A.P. is S_n=3n^2+5n . Write its common difference.

Consider an A.P. with first term a and common difference d. Let S_k denote the sum of the first k terms. If S_(kx)/S_(x) is independent of x, then

Let S_n denote the sum of n terms of an AP whose first term is a. If common difference d is given by d=Sn-kS_(n-1)+S_(n-2) , then k is :

Let S_n denote the sum of n terms of an AP whose first term is a. If common difference d is given by d=Sn-kS_(n-1)+S_(n-2) , then k is :

Let S_n denote the sum of n terms of an AP whose first term is a. If common difference d is given by d=Sn-kS_(n-1)+S_(n-2) , then k is :

Consider an A.P. with first term 'a'. Let S_(n) denote the sum its terms. If (S_(kx))/(S_(x)) is independent of x, then S_(n)=

If S_n denotes the sum of n terms of an A.P. whose common difference is d and first term is a, find S_n-2S_(n-1)+S_(n-2)

If T_(r) be the rth term of an A.P. with first term a and common difference d, T_(m)=1/n and T_(n)=1/m then a-d equals

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. The 9t h term of an A.P. is 449 and 449th term is 9. The term which...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If k ,\ 2k-1 and 2k+1 are three consecutive terms of an A.P., the va...

    Text Solution

    |

  19. The next term of the AP sqrt(7), sqrt(28), sqrt(63),… is

    Text Solution

    |

  20. The first three terms of an A.P. respectively are 3y-1,\ 3y+5 and 5y...

    Text Solution

    |