Home
Class 14
MATHS
Three numbers form an increasing G.P. . ...

Three numbers form an increasing G.P. . If the middle number is doubled, then the new numbers are in A.P. The common ratio of the G.P is:

A

`2-sqrt3`

B

`2+sqrt3`

C

`sqrt3-2`

D

`3-sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos
  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

Three positive numbers form an increasing GP. If the middle term in this GP is doubled, then new numbers are in AP. Then, the common ratio of the GP is

Three positive numbers form an increasing GP. If the middle terms in this GP is doubled, the new numbers are in AP. Then, the common ratio of the GP is

Three positive numbers from an increasing G.P.If the middle term in this G.P.is doubled, the new numbers are in A.P.Then the common ratio of the G.P.is (1) sqrt(2)+sqrt(3)(2)3+sqrt(2)(3)2-sqrt(3)(4)2+sqrt(3)

Three numbers are in an increasing geometric progression with common ratio r. If the middle number is doubled, then the new numbers are in an arithmetic progression with common difference d. If the fourth term of GP is 3 r^(2) , then r^(2) - d is equal to :

Three terms forms an increasing G.P with ratio r . If the second term of the given G.P is double then the new series are in A.P with common difference d also the 4th terms of G.P is 3r^2 then the value of (r^2-d) is

Three positive numbers form a GP. If the middle number is increased by 8, the three numbers form an AP. If the last number is also increased by 64 along with the previous increase in the middle number, the resulting numbers form a GP again.Then :-

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. Three non-zero real numbers form an A.P. and the squares of these numb...

    Text Solution

    |

  2. If three positive real numbers a,b,c, are in A.P. such that a*b*c=4 , ...

    Text Solution

    |

  3. Three numbers form an increasing G.P. . If the middle number is double...

    Text Solution

    |

  4. If a(1),a(2),a(3)(a(1)gt0) are three successive terms of a GP with com...

    Text Solution

    |

  5. Let an be the nth term of an A.P. and a7=22, trhen the value of the co...

    Text Solution

    |

  6. If the A.M of two positive numbers a and b, (a gt b) is twice their G....

    Text Solution

    |

  7. Find the number of common terms to the two sequences 17,21,25,...,417 ...

    Text Solution

    |

  8. The sum of n terms of the series (1)/(sqrt(1) + sqrt3) + 1/(sqrt3 +...

    Text Solution

    |

  9. Let Tr be the rth term of an A.P., for r=1,2,3, If for some positive...

    Text Solution

    |

  10. Find the sum to n terms of the series 3+6 + 10 + 16 + …

    Text Solution

    |

  11. In a certain colony of cancerous cells , each cell divides into two ev...

    Text Solution

    |

  12. Divakar and Subhank set out to meet each other from Delhi and Saharanp...

    Text Solution

    |

  13. Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + .......

    Text Solution

    |

  14. If a, b, c are in H.P, then the value of (1/(b) + 1/(a) - 1/(c)) (1/(...

    Text Solution

    |

  15. Find the sum of n terms of the series 1.3.5.+3.5..7+5.7.9+...

    Text Solution

    |

  16. What is the sum of 100 terms of the series 1-2+3-4+5-6+…. ?

    Text Solution

    |

  17. An infinite G.P has first term x and sum 5 then x belongs

    Text Solution

    |

  18. The next term of the sequence 1,5,14,30,55,... is

    Text Solution

    |

  19. The nth term of an A.P. is (5n-1). Find the sum of its 'n' terms.

    Text Solution

    |

  20. A can do work in 18 days. he work at it for 12 days and B finished th...

    Text Solution

    |