Home
Class 12
MATHS
Three positive numbers form an increasin...

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

A

`3+2 sqrt(2)`

B

`2sqrt(2)-sqrt(3)`

C

`2+2sqrt(3)`

D

`2sqrt(2)+sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

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 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

If the pth ,qth and rth terms of an AP are in G.P then the common ration of the GP is

Three numbers are in G.P.If we double the middle term,we get an A.P.Then find the common ratio of the G.P.

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. lt a1, a2, a3 ....... terms of this A.P., such that a4-a7+a10, then th...

    Text Solution

    |

  2. If (20)^(19)+2(21)(20)^(18)+3(21)^(2)(20)^(17)+….+20(21)^(19)=k(20)^(1...

    Text Solution

    |

  3. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  4. Suppose m arithmeti means are inserted between 1 and 31. If the ratio ...

    Text Solution

    |

  5. In a geometric progression the ratio of the sum of the first 5 terms t...

    Text Solution

    |

  6. If the r^(th) term of a series is 1 + x + x^2 + .......+ x^(r-1) , the...

    Text Solution

    |

  7. Let m be a positive integer, then S=overset(m)underset(k=1)Sigmak((1)/...

    Text Solution

    |

  8. Let f(n)=[(1)/(5)+(3n)/(100)]n, where [x] denotes the greatest integer...

    Text Solution

    |

  9. Find the sum of the series: 1^2-2^2+3^2-4^2+.....-2008^2+2009^2.

    Text Solution

    |

  10. The odd value of n for which 704+1/2(704)+… upto n terms = 1984-1/2(1...

    Text Solution

    |

  11. The positive integer n for which 2xx2^2xx+3xx2^3+4xx2^4++nxx2^n=2^(n+1...

    Text Solution

    |

  12. Sum of the series S=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+........... upt...

    Text Solution

    |

  13. If 1^(2)+2^(2)+3^(2)+…+2009^(2)=(2009)(4019)(335) and (1) (2009) +(2) ...

    Text Solution

    |

  14. If x gt 0, and log(2) + log(2)(sqrt(x)) + log(2) (4sqrt(x)) + log(2) (...

    Text Solution

    |

  15. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

    Text Solution

    |

  16. Let a1, a2, ,a(10) be in A.P. and h1, h2, h(10) be in H.P. If a1=h1=2...

    Text Solution

    |

  17. If a,b,c are in A.P.and a^(2),b^(2),c^(2) are in G.P.such that a lt ...

    Text Solution

    |

  18. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |

  19. Let T(r) be the rth term of an AP, for r=1,2,… If for some positive in...

    Text Solution

    |

  20. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |