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

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

A

`sqrt(5)`

B

`1/2(sqrt(5) - 1)`

C

`1/2(1 - sqrt(5))`

D

`1/2sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 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.

The sum of an infinite geometric series with positive terms is 3 and the sums of the cubes of its terms is (27)/(19) . Then the common ratio of this series is

The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is (27)/(19) . Then, the common ratio of this series is

the sum of the first six terms of a GP is 9 times the sum of the first three terms. The common ratio is

Sum of all terms in in G.P is 5 times the sum of odd terms. The common ratio is

In a GP of positive succeeding terms terms. The common ratio is

If the arithmetic progression whose common difference is nonzero the sum of first 3n terms is equal to the sum of next n terms. Then, find the ratio of the sum of the 2n terms to the sum of next 2n terms.

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

Two arithmetic progressions have the same numbers. The reatio of the last term of the first progression to the first term of the second progression is equal to the ratio of the last term of the second progression to the first term of first progression is equal to 4. The ratio of the sum of the n terms of the first progression to the sum of the n terms of teh first progression to the sum of the n terms of the second progerssion is equal to 2. The ratio of their first term is

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. if 1,log(9)(3^(1 - x) + 2),log(3)[4.3^(x) - 1] are in A.P. then x equa...

    Text Solution

    |

  2. 1^(3) - 2^(3) + 3^(3) + 4^(3) + .... + 9^(3) =

    Text Solution

    |

  3. Sum of infinite number of terms in GP is 20 and sum of their square is...

    Text Solution

    |

  4. The value of 2^(1/4), 4^(1/8), 8^(1/16) ...... infty is

    Text Solution

    |

  5. Fifth term of a GP is 2, then the product of 1ts 9 terms is

    Text Solution

    |

  6. If the system of linear equations x + 2ay + az = 0,x + 3by + bz = 0,x ...

    Text Solution

    |

  7. Let f(x) be a polynomial function of second degree. If f(1) = f(-1) an...

    Text Solution

    |

  8. The sum of the series 1/1.2 - 1/2.3 + 1/3.4 … upto infty is equal to

    Text Solution

    |

  9. If x(1),x(2),x(3)as well as y(1),y(2),y(3) are in geometric progressio...

    Text Solution

    |

  10. Let T, be the r^(th) term of an A.P. whose first term is a and common ...

    Text Solution

    |

  11. The sum of first n terms of the series 1(2) + 2.2^(2) + 3^(2) + 2.4^(2...

    Text Solution

    |

  12. The sum of series 1/2! + 1/4! + 1/6! + …….. is

    Text Solution

    |

  13. If the coefficients of r^(th),(r + 1)^(th) and (r + 2)^(th) terms in t...

    Text Solution

    |

  14. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

    Text Solution

    |

  15. If a(1), a(2), a(3), ………, a(n)….. are in G.P., then the determinant De...

    Text Solution

    |

  16. Leta(1), a(2), a(3), ………be terms of an A.P. if (a(1) + a(2) + ...... a...

    Text Solution

    |

  17. If a(1), a(2) , ……. A(n) are in H.P., then the expression a(1)a(2) + a...

    Text Solution

    |

  18. The sum of the series 1/(2!) - 1/(3!) + 1/(4!) - …….. upto infinity is

    Text Solution

    |

  19. In a geometric progression consisting of positive terms each term equa...

    Text Solution

    |

  20. The first two terms of a geometric progression add up to 12. The su...

    Text Solution

    |