Home
Class 12
MATHS
The sum of r terms of an A.P. is denoted...

The sum of r terms of an A.P. is denoted by `S_(r ) and (S_(m+1))/(S_(n+1)) = ((m+1)^(2))/((n+1)^(2))`, then the ratio of the `8^(th)` term to `6^(th)` term is

A

`(15)/(19)`

B

`(15)/(11)`

C

`(14)/(19)`

D

`(9)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • SETS AND RELATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

The ratio of the sums of m and n terms of an A.P is m^(2): n^(2) , then the ratio of the m^(th) and n^(th) terms is

If S_(n) denotes the sum of first n terms of an A.P. and S_(2n)= 3S_(n) , then (S_(3n))/(S_(n))=

The sum of n terms of an AP is 2n^(2) +n . Then 8^(th) term of the AP is

Find the sum of 32 terms of an A.P. whose third term is 1 and 6^(th) term is -11.

If p th term of a H.P is qr and q^(th) term is r p then r^(th) term is

The sum of n terms of an A.P is 3n^(2) +n . Then 8^(th) term of the A.P is

If 10th term of an A.P is 13, then the sum of 19 terms =

If mth terms of an A.P . Is n and nth term is m, then (m + n)th term is

IF 8th term of an A.P. is 15, then the sum of 15 terms is

The (n+1)th term in the expansion of e^(-2) is

AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If 5^(th) term of A.P is (1)/(6) and 6^(th) term of A.P is (1)/(5) the...

    Text Solution

    |

  2. The interior angles of a polygon are in A.P. if the smallest angle is ...

    Text Solution

    |

  3. The sum of r terms of an A.P. is denoted by S(r ) and (S(m+1))/(S(n+1)...

    Text Solution

    |

  4. The n^(th) term of an A.P is p and the sum of the first n terms is s. ...

    Text Solution

    |

  5. If s(1), s(2), s(3)…..s(p) are the sums of n terms of 'p' A.P's whose ...

    Text Solution

    |

  6. If a(1), a(2), a(3)…..a(n) are in A.P. with common difference d then s...

    Text Solution

    |

  7. If S(1), S(2), S(3) be the sum of 10, 20, 30 terms respectively of an ...

    Text Solution

    |

  8. The first, second and last terms of an A.P. are a, b, c respectively, ...

    Text Solution

    |

  9. If the sum of the first ten terms of an A.P is four times the sum of i...

    Text Solution

    |

  10. If a,b,c are in A.P then a((1)/(b) + (1)/(c )), b ((1)/(c ) + (1)/(a))...

    Text Solution

    |

  11. If p, q, r are in A.P the p^(2) (q + r), q^(2) (r + p), r^(2) (p+q) ar...

    Text Solution

    |

  12. If the A.M. between p^(th) and q^(th) terms of an A.P be equal to A.M ...

    Text Solution

    |

  13. If n A.M's are inserted between two quantites a and b then their sum i...

    Text Solution

    |

  14. If n A.M.'s are inserted between 4 and 96 then sum of n A.M.'s is

    Text Solution

    |

  15. If n A.M.'s are inserted between 20 and 80 such that the ratio of firs...

    Text Solution

    |

  16. Fifth term of G.P. is 2. The product of its first nine terms is

    Text Solution

    |

  17. If (m+n)^(th) term and (m-n)^(th) terms of a G.P. are p and q respecti...

    Text Solution

    |

  18. Let a(n) be the n^(th) term of G.P. If Sigma(n=1)^(100)a(2n)=alpha and...

    Text Solution

    |

  19. If 4^(th), 7^(th), 10^(th) terms of a G.P. are p, q, r respectively th...

    Text Solution

    |

  20. If l, m, n are the p^(th), q^(th), r^(th) terms of a G.P which are +ve...

    Text Solution

    |