Home
Class 12
MATHS
Find the three numbers in G.P. whose sum...

Find the three numbers in G.P. whose sum is 38 and whose product is 1728 .

Text Solution

AI Generated Solution

To find the three numbers in Geometric Progression (G.P.) whose sum is 38 and whose product is 1728, we can follow these steps: ### Step 1: Define the terms of the G.P. Let the three numbers in G.P. be: - First term: \( a \) - Second term: \( ar \) - Third term: \( ar^2 \) ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A) One option is correct|60 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - B) One option is correct|49 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • SETS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-I(Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

Find the three numbers in G.P. whose sum is 93 and whose product is 3375 .

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

Find three numbers in A.P. whose sum is 24 and whose product is 440.

Find three real numbers in G.P. whose sum is 30 and product is 216.

Find three numbers in G.P. whose sum is 19 and product is 216.

Find three consecutive numbers in G.P. whose sum is 28 and product is 512.

Find three numbers in A.P., whose sum is 15 and product is 80.

Find three numbers in A.P. whose sum is 12 and product is 48.

Find three numbers in A.P. whose sum is 12 and product is 48.

Find three numbers in A.P. whose sum is 12 and product is 60.

AAKASH INSTITUTE ENGLISH-SEQUENCES AND SERIES -Try Yourself
  1. If a be the first term, l the nth and p the product of first n terms ...

    Text Solution

    |

  2. Find the three numbers in G.P. whose sum is 93 and whose product is 3...

    Text Solution

    |

  3. Find the three numbers in G.P. whose sum is 38 and whose product is 17...

    Text Solution

    |

  4. Find three numbers in G.P. whose sum is 13 and the sum of whose square...

    Text Solution

    |

  5. A number consists of three digits in G.P. The sum of unit's digit and ...

    Text Solution

    |

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

    Text Solution

    |

  7. The sum of four numbers in G.P is 60 and the arithmetic mean of the ...

    Text Solution

    |

  8. Find the sum of indicated number of terms of each of the following G.P...

    Text Solution

    |

  9. Find the sum of the following series : (1)/(4) + (1)/(2) + 1 + … to...

    Text Solution

    |

  10. Find the sum of indicated terms of each of the following geometric pro...

    Text Solution

    |

  11. Find the sum to n terms (i) 9 + 99 + 999 + … (ii) 0.2 + 0.22...

    Text Solution

    |

  12. How many terms of the series 1+2+2^2+….. must be taken to make 511?

    Text Solution

    |

  13. A bag contains a total of 20 books on physics and mathematics, Any po...

    Text Solution

    |

  14. Find the sum to infinity of the following G.P. (i) 1, (1)/(3) , (1)/...

    Text Solution

    |

  15. Find the sum of the following series , (i) 0.5 + 0.05 + 0.005 + 0...

    Text Solution

    |

  16. Prove that (9^(1/3).9^(1/9).9^(1/27)............oo)=3

    Text Solution

    |

  17. Show that 9^(1/(4)).9^(1/(8)).9^(1/(16).) . .."to" oo = 3

    Text Solution

    |

  18. The sum of an infinite G.P. . Is 6 and its first term is 2 . Find the ...

    Text Solution

    |

  19. If the common ratio is -4/5 and the sum of infinite terms in a G.P is ...

    Text Solution

    |

  20. Represent the following as rational numbers : (i) 0.bar(8)5 " " (...

    Text Solution

    |