Home
Class 11
MATHS
The fourth term of a G.P. is 27 and the ...

The fourth term of a G.P. is 27 and the 7th term is 729, find the G.P.

Text Solution

Verified by Experts

Let The series be `a,ar,ar^2⋯`
`ar^3=27⋯(1)`
`ar^6=729⋯(2)`
(2)/(1)
`(ar^6)/(ar^3)​=729/(27)`
​ ...
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|157 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|5 Videos

Similar Questions

Explore conceptually related problems

If the first term of a G.P. is 729 and the 7 the term is 64, then S_(oo)=2180 . True or False.

The first term of a G.P. is -3. If the 4th term of this G.P. is the square of the 2nd term, then find its 7th term.

The product of 3rd and 8th terms of a G.P. is 243 and its 4th term is 3. Find its 7th term.

The fourth term of the G.P. 4, - 2 , 1 , … is

The first term of a G.P. is 2 and each of its term is equal to sum of the succeding terms of the G.P. Find the G.P.

The 7th term of an H.P. is (1)/(10) and 12th term is (1)/(25) Find the 20th term

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

The nth term of a G.P. is 3cdot2^(n). Find the sum of 8 terms of the G.P.

RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. Which term of the G.P.: 1/3,1/9,1/(27) i s1/(19683)?

    Text Solution

    |

  2. Find the 4th term from the end of the G.P. 1/2,1/6,1/(18),1/(54), ,1/...

    Text Solution

    |

  3. The fourth term of a G.P. is 27 and the 7th term is 729, find the G....

    Text Solution

    |

  4. The 7th term of a G.P. is 8 times the 4th term and the 5th term is 4...

    Text Solution

    |

  5. If the G.Ps 5 , 10, 20, and 1280, 640, 320 have their nth terms equ...

    Text Solution

    |

  6. The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Sh...

    Text Solution

    |

  7. The 4th term of a G.P. is square of its second term and the first t...

    Text Solution

    |

  8. In a GP the 3rd term is 24 and the 6th term is 192. Find the 10th t...

    Text Solution

    |

  9. If a ,\ b ,\ c ,\ d\ a n d\ p are different real numbers such that: (a...

    Text Solution

    |

  10. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0) , then show tha...

    Text Solution

    |

  11. the sum of three numbers in G.P. is 56. If we subtract 1,7,21 from the...

    Text Solution

    |

  12. Find three numbers in G.P. whose sum is 65 and whose product is 3375.

    Text Solution

    |

  13. If the sum of three numbers in G.P. is 38 and their product is 1728, ...

    Text Solution

    |

  14. The sum of first three terms of a G.P. is 13/12 and their product is ...

    Text Solution

    |

  15. The product of the three numbers in G.P. is 125 and sum of their pr...

    Text Solution

    |

  16. The sum of first three terms of a G.P. is (39)/(10) and their product ...

    Text Solution

    |

  17. The sum of three numbers in G.P. is 14. If the first two terms are eac...

    Text Solution

    |

  18. Find three numbers in G.P. whose product is 729 and the sum of their ...

    Text Solution

    |

  19. The sum of three numbers in G.P. is 21 and the sum of their squares is...

    Text Solution

    |

  20. Find the sum of 7 terms of the G.P. 3,6,12…

    Text Solution

    |