Home
Class 11
MATHS
Find four numbers forming a geometric p...

Find four numbers forming a geometric progression in which the third term is greater than the first term by 9, and the second term is greater than the `4^(t h)`by 18.

Text Solution

AI Generated Solution

To solve the problem of finding four numbers forming a geometric progression (GP) with the given conditions, we can follow these steps: ### Step 1: Define the terms of the geometric progression Let the four terms of the geometric progression be: - First term: \( a \) - Second term: \( ar \) - Third term: \( ar^2 \) - Fourth term: \( ar^3 \) ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.1|14 Videos
  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.4|10 Videos
  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.2|18 Videos
  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise EXERCISE 2.3|5 Videos
  • SETS

    NCERT ENGLISH|Exercise EXERCISE 1.5|7 Videos

Similar Questions

Explore conceptually related problems

Find four numbers forming a geometric progression in which the third term is greater than the first terms by 9, and second term is greater than the 4th by 18.

Find the geometric progression with fourth term = 54 seventh term = 1458.

Find the 4 terms in G .P. in which 3rd term is 9 more than the first term and 2nd term is 18 more than the 4th term.

In an A.P. the third term is four times the first term, and the sixth term is 17 , find the series.

The third term of a geometric progression is 4. Then find the product of the first five terms.

If the first term in a geometric sequence is 3, and if the third term is 48, what is the 11th term ?

The third term of a G.P. is the square of the first term. If the second term is 8, find its sixth term.

Find the sum of the following geometric progression: 2,6,18… to 7 terms

Seven eighths of a number is greater than half the number by 9. Find the number.

The second term of an infinte geometric progression is 2 and its sum to infinity is 8. The first term is

NCERT ENGLISH-SEQUENCES AND SERIES-EXERCISE 9.3
  1. If the first and the nth terms of a GP are a and b respectively and if...

    Text Solution

    |

  2. Find four numbers forming a geometric progression in which the third ...

    Text Solution

    |

  3. Show that the products of the corresponding terms of the sequences a,...

    Text Solution

    |

  4. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n)may be the geo...

    Text Solution

    |

  5. Insert two number between 3 and 81 so that the resulting sequence is ...

    Text Solution

    |

  6. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a b...

    Text Solution

    |

  7. The number of bacteria in a certain culture doubles every hour. If th...

    Text Solution

    |

  8. What will Rs. 500 amounts to in 10 years after its deposit in a bank w...

    Text Solution

    |

  9. If A.M. and GM. of roots of a quadratic equation are 8 and 5, respect...

    Text Solution

    |

  10. If A and G be A.M. and GM., respectively between two positive numbers...

    Text Solution

    |

  11. The sum of two numbers is 6 times their geometric means, show that nu...

    Text Solution

    |

  12. If the p^(t h),q^(t h)and r^(t h)terms of a GP are a, b and c, respec...

    Text Solution

    |

  13. Show that the ratio of the sum of first n terms of a G.P. to the su...

    Text Solution

    |

  14. Find a G.P. for which sum of the first two terms is - 4 and the fift...

    Text Solution

    |

  15. If the 4^(t h), 10^(t h)and 16^(t h)terms of a G.P. are x, y and z, r...

    Text Solution

    |

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

    Text Solution

    |

  17. Given a G.P. with a = 729 and 7^(t h)term 64, determine S7.

    Text Solution

    |

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

    Text Solution

    |

  19. How many terms of G.P. 3,3^2,3^3,dotdotdotare needed to give the sum 1...

    Text Solution

    |

  20. Find the sum to indicated number of terms in each of the geometric pr...

    Text Solution

    |