Home
Class 12
MATHS
In a geometric progression consisting...

In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals (1) `1/2(1-sqrt(5))` (2) `1/2sqrt(5)` (3) `sqrt(5)` (4) `1/2(sqrt(5)-1)`

A

`1/2(1-sqrt5)`

B

`1/2 sqrt5`

C

`sqrt 5`

D

`1/2(sqrt5+1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

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

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 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

In a geometric progression consisting of positive terms,each term equals the sum of the next terms.Then find the common ratio.

If COMMON ratio of a geometric progression is positive then maximum value of the ratio of second term to the sum of first 3 terms equals-

If three successive terms of G.P from the sides of a triangle then show that common ratio ' r' satisfies the inequality 1/2 (sqrt(5)-1) lt r lt 1/2 (sqrt(5)+1) .

If common ratio of a geometric progression is positive then maximum value of the ratio of second term to the sum of first 3 terms equals

1/(sqrt(2)+sqrt(3)+sqrt(5))+1/(sqrt(2)+sqrt(3)-sqrt(5))

(1)/(sqrt(2)+sqrt(3)-sqrt(5))+(1)/(sqrt(2)-sqrt(3)-sqrt(5))

(1)/(2+sqrt(3))+(2)/(sqrt(5)-sqrt(3))+(1)/(2-sqrt(5))=0

The sum of infinite terms of the geometric progression (sqrt(2)+1)/(sqrt(2)-1),(1)/(2-sqrt(2)),(1)/(2),... is

MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. Let a1,a2,a3………. be term os an A.P. if (a1+a2+….+ap)/(a1+a2+………+aq)=p^...

    Text Solution

    |

  2. If a1,a2,……….an are in H.P, then the expression a1 a2+a2+a3+…+a(n-1)an...

    Text Solution

    |

  3. In a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  4. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  5. A person is to count 4500 currency notes. Let an, denote the number of...

    Text Solution

    |

  6. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  7. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)=alpha " and ...

    Text Solution

    |

  8. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  9. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  10. The sum of first 20 terms of the sequence 0.7, 0.77, 0.777...... is

    Text Solution

    |

  11. Given sum of the first n terms of an A.P is 2n + 3n^(2). Another A.P....

    Text Solution

    |

  12. the sum3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+....... upto 11 terms

    Text Solution

    |

  13. Given a sequence of 4 numbers, first three of which are in G.P. and th...

    Text Solution

    |

  14. The value of 1^2+3^2+5^2+...+25^2 is (A) 1728 (B) 1456 (C) 2925 ...

    Text Solution

    |

  15. Let a1,a2,a3………. be term os an A.P. if (a1+a2+….+ap)/(a1+a2+………+aq)=p^...

    Text Solution

    |

  16. The sum of the series (2)^2+2(4)^2+3(6)^2+.... upto 10 terms is

    Text Solution

    |

  17. If S= tan^-1 (1/(n^2+n+1))+tan^-1 (1/(n^2+3n+3))+…+tan^-1 (1/(1+(n+19)...

    Text Solution

    |

  18. If a1,a2,a3,. . . ,an. . . are in A.P. such that a4−a7+a10=m, then sum...

    Text Solution

    |

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

    Text Solution

    |

  20. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

    Text Solution

    |