Home
Class 12
MATHS
The first two terms of a geometric pr...

The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is (1) `4` (2) ` 12` (3) 12 (4) 4

A

4

B

`-4`

C

`-12`

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
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

The third term of a geometric progression is 4. Then find the product of the first five terms.

A series whose terms are in Geometric progression is called …….

In an arithmetic progression, the 24^(th) term is 100. Then the sum of the first 47 terms of the arithmetic progression is

The 4th term of a geometic progression is 2/3 and the seventh term is 16/81 . Find the geometic series.

Find x so that x, x+2,x+6 are consecutive terms of a geometric progression.

Find the sum of the first 28 terms of an A.P. whose nth term is 4n-3.

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

If the product of the 4^(th), 5^(th) and 6^(th) terms of a geometric progression is 4096 and if the product of the 5^(th), 6^(th) and 7^(th) - terms of it is 32768, find the sum of first 8 terms of the geometric progression. For any two positive numbers, the three means AM, GM and HM are in geometric progression.

The third term of a geometric progression is 4. The product of the first five terms is (1982, 28M) 4^3 (b) 4^5 (c) 4^4 (d) None of these

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

    |