Home
Class 11
MATHS
The product of 3rd and 8th terms of a G....

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

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the properties of a geometric progression (G.P.). ### Given: - The product of the 3rd and 8th terms of a G.P. is 243. - The 4th term of the G.P. is 3. ### Step 1: Write the formulas for the terms of the G.P. In a G.P., the nth term is given by: ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9G|17 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9H|9 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9E|15 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos

  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISC Exercise|16 Videos

Similar Questions

Explore conceptually related problems

The product of 3^(rd) and 8^(th) terms of a G.P. is 243. If its 4^(th) term is 3, find its 7^(th) term.

The 5th term of an A.P. is 11 and the 9th term is 7. Find the 16th term.

The sum of15 terms of an A.P. is zero and its 4th term is 12. Find its 14th term.

If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th term ?

If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th term ?

The m^(th) term of an A.P. is n and n^(th) term is m its p^(th) term is

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

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

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

The sum of 4th and 8th terms of an A.P. is 24 and the sum of 6th and 10th terms is 44. Find the A.P.

NAGEEN PRAKASHAN ENGLISH-SEQUENCE AND SERIES-Exercise 9F
  1. Find the 8th term of the G.P. sqrt(3),(1)/(sqrt(3)),(1)/(3sqrt(3)),......

    Text Solution

    |

  2. Find the number of terms in the G.P. 1, 2, 4, 8, ... 4096.

    Text Solution

    |

  3. Find the number of terms in the G.P. 1, - 3, 9, ... - 2187.

    Text Solution

    |

  4. Find the 5th term from the end of the G .P. (1)/(512),(1)/(256),(1)/(1...

    Text Solution

    |

  5. Find the 4th term from the end of the G .P. (5)/(2),(15)/(8),(45)/(32)...

    Text Solution

    |

  6. Which term of the progression sqrt(3),3,3sqrt(3)... is 729 ?

    Text Solution

    |

  7. Which term of the G.P., 2, 8, 32, . . . up to n terms in 131072?

    Text Solution

    |

  8. If the nth terms of the progression 5, 10, 20, … and progression 1280,...

    Text Solution

    |

  9. The 3rd, 7th and 11th terms of a G.P. are x, y and z respectively, the...

    Text Solution

    |

  10. The 3rd and 6th terms of a G.P. are 40 and 320, then find the progress...

    Text Solution

    |

  11. Find the G.P. whose 2nd and 5th terms are -(3)/(2)" and "(81)/(16) r...

    Text Solution

    |

  12. in a G.P (p+q)th term = m and (p-q) th term = n , then find its p th t...

    Text Solution

    |

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

    Text Solution

    |

  14. The first term of a G.P. is -3. If the 4th term of this G.P. is the sq...

    Text Solution

    |

  15. The 4th, 7th and last terms of a G.P. are 10,80 and 2560 respectively....

    Text Solution

    |

  16. Find the 4 terms in G .P. in which 3rd term is 9 more than the first t...

    Text Solution

    |

  17. A manufacturer reckons that the value of a machine, which costs him...

    Text Solution

    |

  18. In a G.P. it is given that T(p-1)+T(p+1)=3T(p). Prove that its common ...

    Text Solution

    |

  19. If k, k + 1 and k + 3 are in G.P. then find the value of k.

    Text Solution

    |

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

    Text Solution

    |