Home
Class 12
MATHS
Three number whose product it 512 are in...

Three number whose product it 512 are in G.P. If
8 is added to the first and 6 to the second , the
number will be in A.P. The numbers are

A

2, 8,32

B

8,8,8

C

4,8,16

D

2,8,14

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - B) One option is correct|50 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - C) More than one option are correct|11 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Try Yourself|85 Videos
  • RELATIONS AND FUNCTIONS

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

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Three terms are in G.P.,their product is 216. If 4 be added to the first term and 6 to the second term the resulting numbers are in A.P. obtain the terms in G.P.

Three numbers whose sum is 15 are in A.P. If 1,4,19 be added to them respectively the resulting numbers re in G.P. Find the numbers.

If the product of three number is G.P.is 512. If 4 is added in first number and second then number will be in A.P.then find the sum of the original numbers (A) 16 (B) 20 (C) 28 (D) 24

Sum of three numbers in G.P. be 14. If one is added to first and second and 1 is subtracted from the third, the new numbers are in A.P. The smallest of them is

The sum of three numbers in G.P. is 14. If one is added to the first and second numbers and 1 is subtracted from the third, the new numbers are in ;A.P. The smallest of them is a. 2 b. 4 c. 6 d. 10

Three numbers whose sum is 18 are in AP if 2,4,11 are added to them respective the resulting numbers are in GP.Find the numbers.

The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is

The product of three numbers in GP is 1000. If 6 is added to the second number and 7 is added to the third number, we get an AP. Find the numbers.

Three numbers are in the ratio 3:7:9. If 5 is subtracted from the second,the resulting numbers are in A.P. Find the original numbers.

AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - A) One option is correct
  1. "If " (a^(n)+b^(n))/(a^(n-1)+b^(n-1))" is the A.M. between" a and b, t...

    Text Solution

    |

  2. If (2p)th term of a G.P is q^2 and (2q)th term is p^2 then (p+q)th ter...

    Text Solution

    |

  3. Three number whose product it 512 are in G.P. If 8 is added to the f...

    Text Solution

    |

  4. If first and eightth terms of a G.P. are x^(-4) and x^(52) and it...

    Text Solution

    |

  5. Find the sum of first n term of a G.P.1+(1)/(2)+(1)/(4)+(1)/(8)+...

    Text Solution

    |

  6. The n^(th) term of a GP is 128 and the sum of its n terms is 255. If i...

    Text Solution

    |

  7. How many terms of the series 1+3+9+ .. .........sum to 364?

    Text Solution

    |

  8. If the (p+q)^(th) term of a G.P. is a and (p-q)^(th) term is b, determ...

    Text Solution

    |

  9. If the sum of three numbers in a GP. is 26 and the sum of products tak...

    Text Solution

    |

  10. If a,b,c are in G.P then (b-a)/(b-c)+(b+a)/(b+c)=

    Text Solution

    |

  11. If x , 2x+2,and 3x+3 are the first three terms of a G.P., then the fou...

    Text Solution

    |

  12. If G(1) . G(2) , g(3) are three geometric means between two positi...

    Text Solution

    |

  13. The fifth term of a G.P. is 32 and common ratio is 2 , then the su...

    Text Solution

    |

  14. If the sum of first three numbers in G.P. is 21 and their product i...

    Text Solution

    |

  15. If x, y z are the three geometric means between 6, 54, then z =

    Text Solution

    |

  16. If a,b, and c are in A.P and b-a,c-b and a are in G.P then a:b:c is

    Text Solution

    |

  17. Three positive numbers form an increasing GP. If the middle terms in t...

    Text Solution

    |

  18. If a, b, c form a G.P. with common ratio r such that 0 < r < 1, and if...

    Text Solution

    |

  19. If x, y, z are in A.P.; ax, by, cz are in GP. and 1/a, 1/b, 1/c are in...

    Text Solution

    |

  20. If second third and sixth terms of an A.P. are consecutive terms o a ...

    Text Solution

    |