Home
Class 11
MATHS
In a GP the 3rd term is 24 and the 6th t...

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

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the properties of a geometric progression (GP). ### Step 1: Understand the terms of the GP In a geometric progression, the nth term can be expressed as: \[ A_n = A \cdot R^{n-1} \] where: - \( A \) is the first term, - \( R \) is the common ratio, ...
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

(i) In a G.P. the third term is 24 and the 6th term is 192. Find the 10th term. (ii) find the 12th term of a G.P., whose 8th term is 192 and the common ratio is 2.

(i) The 3rd term of an A.P. is 1 and 6 th term is -11. Determine its 15th term and rth term. (ii) In an A.P. , the third term is p and the fourth term is q, find the 10 th term and the general term.

An AP consists of 50 terms of which 3 rd term is 12 and the last term is 106. Find the 29 th term.

Find the G.P. whose 2nd term is 12 and 6th term is 27 times the 3rd term.

In a G.P.the 3rd term is 8 xx the 6th term and the 4th term is 4 xx the 6th term.Find the common ratio of the G.P.

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

In a GP, the sum of first two terms is -4 and the 5th term is 4 times the 3rd term. Find the GP.

RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Sh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Find the sum of 7 terms of the sequence (1/5+2/(5^2)+3/(5^3)),\ (1/(5^...

    Text Solution

    |

  17. Find the sum of the series 2+6+18++4374

    Text Solution

    |

  18. The sum of first three terms of a G.P is 16 and the sum of the next th...

    Text Solution

    |

  19. Find a G.P. for which sum of the first two terms is -" "4 and the f...

    Text Solution

    |

  20. The sum of some terms of a G.P. is 315 whose first term and the common...

    Text Solution

    |