Home
Class 12
MATHS
If the 10th and 19th terms of a H.P. are...

If the 10th and 19th terms of a H.P. are `(-(5)/(37))` and `(-(5)/(64))` respectively, find the nth term of the H.P.

Text Solution

Verified by Experts

The correct Answer is:
`-(5)/(3n+7)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (MCQs)|5 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Integer Answer Type)|5 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 D (Very Short Answer Type Questions)|27 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

The 10th and 14th terms of a H.P. are (2)/(29) and (2)/(41) respectively. Find the nth term of the H.P.

The 8th and 14th term of a H.P. are 1/2 and 1/3, respectively. Find its 20th term. Also, find its general term.

The first two term of a G.P are 125, and 25 respectively. Find the 5th and 6th term of the GP.

The 5th and 13th term of an A.P are 5 and -3 respectively. Find the A.P and the 30th term.

If the mth and nth terms of a H.P. are n and m respectively, then its mnth term will be-

If the first two terms of as H.P. are 2/5 and 12/13 , respectively. Then find the largest term.

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in GP.

Find the 10th and nth term of GP: 5,25, 125,……

The 3rd and the 7th terms of a G.P. are 4 and 64 respectively. Find the G.P.

If the m^(th) term and the n^(th) term of an A.P. are respectively (1)/(n)and(1)/(m) , then the (mn)^(th) term of the A.P. is

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 E (Very Short Answer Type Questions)
  1. Examine whether the following sequences are in H.P. : {(1)/(c + 3d'...

    Text Solution

    |

  2. Find the H.P whose first and second terms are (1)/(3) are (1)/(5) resp...

    Text Solution

    |

  3. If the 10th and 19th terms of a H.P. are (-(5)/(37)) and (-(5)/(64)) r...

    Text Solution

    |

  4. If the pth term of a H.P. be q and the qth term be equal to p, show th...

    Text Solution

    |

  5. What is the value of the H.M. between (a+b) and (a-b) ?

    Text Solution

    |

  6. Insert two HM.s between (1)/(3) and (1)/(24).

    Text Solution

    |

  7. Insert two H.M.s between (-6) and (3)/(13).

    Text Solution

    |

  8. If the G.M. and H.M. of two numbers are 15 and 9 respectively, find th...

    Text Solution

    |

  9. If the A.M. and H.M. of two numbers are 15 and 9(3)/(5) respectively, ...

    Text Solution

    |

  10. If the ratio of G.M. of two numbers to their H.M. is 5 : 4, prove tha...

    Text Solution

    |

  11. If a, b, c are in H.P., prove that, (a)/(b+c-a), (b)/(c+a-b), (c )/...

    Text Solution

    |

  12. If a, b, c are in H.P., prove that, (1)/(bc), (1)/(ca), (1)/(ab) ar...

    Text Solution

    |

  13. If a, b, c are in H.P., prove that, a(b+c), b(c+a), c(a+b) are in A...

    Text Solution

    |

  14. If a, b, c are in H.P., prove that, (a)/(a-b) = (a+c)/(a-c)

    Text Solution

    |

  15. If a, b, c are in A.P., show that, (bc)/(a(b+c)), (ca)/(b(c+a)) and (a...

    Text Solution

    |

  16. If a^(2), b^(2), c^(2) are in A.P., show that, (b+c), (c+a), (a+b) are...

    Text Solution

    |

  17. If four positive numbers a, b, c and d are in A.P. then prove that abc...

    Text Solution

    |

  18. Prove that, a, b,c are in A.P., G.P. or, H.P. accordingly as (a-b)/(b-...

    Text Solution

    |

  19. If a^(x) = b^(y) = c^(z) and a, b, c, are in G.P., prove that x, y, z ...

    Text Solution

    |

  20. If p, q, r are in A.P., q, r, s are in G.P. and r, s, t are in H.P., p...

    Text Solution

    |