Home
Class 11
MATHS
a, b, c are the first three terms of a g...

a, b, c are the first three terms of a geometrical series. If the harmonic mean of a and b is 12 and that of b and c is 36, find the first five terms of series.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

If the sum of first 7 terms of an AP is 49 and that of 17, terms is 289, find the sum of first n terms.

The first three terms of a sequence are 3,-1,-1 . The next terms are

Find the mean of first five multiples of 3.

If the first four terms of an arithmetic sequence are a,2a,b and (a-6-b) for some numbers a and b, find the sum of the first 100 terms of the sequence.

The sum of an inifinite G.P. is 8. If the second term is 2, then find the first term and the series.

The sum of the first three terms of an A.P. is 36 while their product is 1620. Find the A.P.

There are four numbers such that the first three of them form an arithmetic Sequence and the last three form a geometric Sequence. The sum of the first and third terms is 2 and that of second and fourth is 26. What are these numbers ?

The sum of first three terms of a G.P. is 7 and the sum of their squares is 21. Determine the first five terms of the G.P.

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. a, b, c are the first three terms of a geometrical series. If the harm...

    Text Solution

    |

  2. Write the first three terms of the sequence defined by the following :...

    Text Solution

    |

  3. Write the first five terms of the sequences given below whose nth term...

    Text Solution

    |

  4. Write the first five terms of the following functions whose nth terms ...

    Text Solution

    |

  5. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  6. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  7. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  8. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  9. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  10. Write the first five terms of the following sequence whose nth terms a...

    Text Solution

    |

  11. Write the first five terms of the following sequence whose nth terms a...

    Text Solution

    |

  12. Write the first five terms of the following sequence whose nth terms a...

    Text Solution

    |

  13. Write the first five terms of the sequences given below whose nth term...

    Text Solution

    |

  14. Write the first five terms of the sequences given below whose nth term...

    Text Solution

    |

  15. What is the 19th term of the sequence : a(n) = (n(n-2))/(n+3)?

    Text Solution

    |

  16. Find the term indicated in the following case : t(n)=4^(n)+n^(2)-n+1...

    Text Solution

    |

  17. Find the term indicated in the following case : h(n)=n^(2)-3n+4, h(1...

    Text Solution

    |

  18. Find the term indicated in the following case : an= n^2/2^n , a7.

    Text Solution

    |

  19. Find the term indicated in the following case : an= (-1)^(n-1) n^3 ,...

    Text Solution

    |

  20. Find the term indicated in the following case : an= (n(n-2))/(n-3), ...

    Text Solution

    |

  21. Find the first five terms of the sequence and write corresponding seri...

    Text Solution

    |