Home
Class 12
MATHS
Between 1 and 31 are inserted m arithmet...

Between 1 and 31 are inserted m arithmetic means, so that the ratio of the 7th and (m - 1) th means is 5 : 9. then the value of m is

A

12

B

13

C

14

D

15

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos
  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

Similar Questions

Explore conceptually related problems

If n A.M.'s are inserted between 20 and 80 such that the ratio of first mean to the last mean is 1:3 then the value of n is

Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A. P. and the ratio of 7^(th) and (m - 1)^(th) numbers is 5 : 9. Find the value of m.

1/81 th value of 729 is ___

Arithmetic mean of 1/2 & 1/3 is

Between 4 and 2916, (2n+1) G.M's are inserted then (n+1)^(th) G.M is

If n arithmetic means are inserted between 2 and 38 , then the sum of the resulting series is obtained as 200, then the value of n is

If h denote the arithmetic mean, k denote G.M. of the intercepts made on axes by the lines passing through (1, 1) then (h, k) lies on

The ratio of the sums of m arithmatic means and n arithmatic means between two numbers is

IF the arithmetic mean of the roots of a quadratic equation is 8/5 and the arithmetic mean of their reciprocals is 8/7 then the equation is

If the fourth term of a H.P is 1/3 and 7th term is 1/4, then 16th term is

DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. Four numbers are in arithmetic progression. The sum of first and last ...

    Text Solution

    |

  2. The ratio of the sums of m arithmatic means and n arithmatic means bet...

    Text Solution

    |

  3. Between 1 and 31 are inserted m arithmetic means, so that the ratio of...

    Text Solution

    |

  4. If a(1), a(2) ……… a(n) are in A.P with common difference d ne 0, then ...

    Text Solution

    |

  5. Value of underset(n rarr infty )(Lim) sum(r = 1)^(n) Tan^(-1) ((1)/(2r...

    Text Solution

    |

  6. Given that n A.M.s are inserted between two sets of numbers a , 2b and...

    Text Solution

    |

  7. If pth, qth, rth terms of an A.P are a,b,c then a(q - r ) + b(r - p ) ...

    Text Solution

    |

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

    Text Solution

    |

  9. If the mth term of an A.P is n and nth term is m , then pth term =

    Text Solution

    |

  10. If 100 times the 100^(th) term of an A.P with non zero common differen...

    Text Solution

    |

  11. If the sum of m terms of an A.P, is equal to the sum of n terms of the...

    Text Solution

    |

  12. If a(1), a(2) …… a(n) are in A.P then (sqrt(a(1)) + sqrt(a(n)))/( sqrt...

    Text Solution

    |

  13. If the ratio of sum of n terms in two A.P' s is 2n : n + 1, then the ...

    Text Solution

    |

  14. The sum of n terms in two A.P's are in the ratio 3n + 1 : n + 4 , then...

    Text Solution

    |

  15. If S(n) danotes the sum of n terms of n terms of an A.P. then S(n + 3)...

    Text Solution

    |

  16. The first term of an A.P of consecutive integers is p^(2) + 1 . The su...

    Text Solution

    |

  17. The numbers 3^(2 sin 20 -1 ) , 14, 3^(4 - 2 sin 20) form first three ...

    Text Solution

    |

  18. Arithmetic mean of 1/2 & 1/3 is

    Text Solution

    |

  19. One of the four A,M's between 3, 23 is

    Text Solution

    |

  20. Sum of 4 Arithmetic means between 3 and 23 is

    Text Solution

    |