Home
Class 11
MATHS
If 4^(th) term and sixth term of an HP a...

If `4^(th)` term and sixth term of an HP are `1/9` and `1/13` respectively, find the `10^(th)` term of the sequence.

Text Solution

Verified by Experts

The correct Answer is:
`1/21`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREMN,SEQUENCES AND SERIES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE(Answer the following questions)|15 Videos

  • BINOMIAL THEOREMN,SEQUENCES AND SERIES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE(Choose the correct option for the following)|31 Videos

  • BASIC ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE I -Choose the correct option for the following(MCQ)|37 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|34 Videos

Similar Questions

Explore conceptually related problems

If 10^(th) term and the 18^(th) term of an A.P. are 25 and 41 respectively, then find the 38^(th) term.

The 11^(th) term and the 21^(th) term of an A.P. are 16 and 29 respectively, then find the 41^(th) term of that A.P.

If the 4^(th) and 7^(th) terms of a GP are 16 and 128 respectively, then the 10^(th) terms is

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.

If the 5^(th) and 9^(th) terms of a harmonic progression are (1)/(19) and (1)/(35) find the 12^(th) term of the sequence.

If the 3rd and the 9th terms of an AP are 4 and -8 respectively, which term of this AP is zero?

find the 10th term of the AP : 5,1,-3,7,……

If the 4th and 7th term of Geometrics Progressions are 54 and 1458 respectively, find the Geometric Progression.

PREMIERS PUBLISHERS-BINOMIAL THEOREMN,SEQUENCES AND SERIES -PROBLEMS FOR PRACTICE(Choose the correct option for the following)
  1. If 4^(th) term and sixth term of an HP are 1/9 and 1/13 respectively, ...

    Text Solution

    |

  2. The sum upto n terms of the series sqrt(3) + sqrt(12) + sqrt(27) + sqr...

    Text Solution

    |

  3. The sum up to n terms of the series 1/(sqrt(1) + sqrt(3)) + 1/(sqrt(3)...

    Text Solution

    |

  4. The remainder when (52)^(15) is divided by 17 is

    Text Solution

    |

  5. If HM and GM of two numbers are 10/9 and 3, then its AM is :

    Text Solution

    |

  6. The no. of terms in the expansion (a+b)^(100)

    Text Solution

    |

  7. Find the term independent of x in the expansion of (x^(2) - 1/x)^(7)

    Text Solution

    |

  8. The coefficient of x^(4) in the expansion of (x/2-3/x^(2))^(10) is

    Text Solution

    |

  9. If S(n) denotes the sum of n terms of an AP whose first term is a, com...

    Text Solution

    |

  10. The coefficient of x^(5) in the expansion of (e^(x) + e^(-x)) is:

    Text Solution

    |

  11. 2[1/2 + 1/(3.2^(3)) + 1/(5.2^(5)) + …]is :

    Text Solution

    |

  12. match the following

    Text Solution

    |

  13. match the following

    Text Solution

    |

  14. Find the odd man out: For any two positive integers:

    Text Solution

    |

  15. AM, GM, HM denote the arithmetic, geometric and harmonic means of a an...

    Text Solution

    |

  16. Find the odd man out in the following:

    Text Solution

    |

  17. Find the correct statement:

    Text Solution

    |

  18. Find the correct statement:

    Text Solution

    |

  19. Find the incorrect statement:

    Text Solution

    |

  20. Assertion (A): In the expansion of (a +b)^(n) n in N the coefficient a...

    Text Solution

    |

  21. Assertion: If a and b are distinct integers then (a - b) is a factor ...

    Text Solution

    |