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

`-12`

C

`12`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

The sum of the terms of an infinite geometric progression is 3 and the sum of the squares of the terms is 81. Find the first term of the series.

What is the product of first 2n+1 terms of a geometric progression ?

The eighth term of a geometric progression is 128 and common ratio is 2. The product of the first five terms is

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

The first three terms of a geometric progression are 3, -1 and 1/3 . The next term of the progression is

If the sum of the first 100 terms of an arithmetic progression is -1 and the sum of the even terms is 1, then the 100^("th") term of the arithmetic progression is

If the fourth term of a geometric progression exceeds the second term by 24 and the sum of the second and the third term is 6, then the common ratio of the progression is

In a geometric progression, the sum of first three terms is 35 and the sum of squares of the first three terms is 525. The second term of the geometric progression is

DISHA PUBLICATION-SEQUENCES AND SERIES -EXERCISE -1 : Concept Builder
  1. x and y are positive number.Let g and a be G.M. And AM of these number...

    Text Solution

    |

  2. Suppose x and y are real numbers such that -1 lt x lt y lt 1 Let G be ...

    Text Solution

    |

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

    Text Solution

    |

  4. An infinite GP has first term x and sum 5, then x belongs to (2004, 1...

    Text Solution

    |

  5. (i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the...

    Text Solution

    |

  6. Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...

    Text Solution

    |

  7. If x(1), x(2), x(3) .................x(n) are in H.P.then x(1)x(2)+x(2...

    Text Solution

    |

  8. If the harmonic mean between a and b be H, then the value of 1/(H-a)+...

    Text Solution

    |

  9. The sum of 0. 2+0004+0. 00006+0. 0000008+... to oo is (200)/(891) b. ...

    Text Solution

    |

  10. If the p^(th), q^(th) and r^(th) terms of a H.P. are a,b,c respectivel...

    Text Solution

    |

  11. If a,b,c are three distinct positive real numbers which are in H.P., t...

    Text Solution

    |

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

    Text Solution

    |

  13. If the 7^(th) term of a H.P is (1)/(10) and the 12^(th) term is (1)/(2...

    Text Solution

    |

  14. If 1/1^4+1/2^4+1/3^4+...+oo=pi^4/90, then 1/1^4+1/3^4+1/5^4+...+oo=

    Text Solution

    |

  15. If x, y and z are pth, gth and rth terms respectively of an A.P and al...

    Text Solution

    |

  16. The AM, HM and GM between two number are (144)/(15), 15 and 12, but no...

    Text Solution

    |

  17. If a1, a2, a3, an are in H.P. and f(k)=(sum(r=1)^n ar)-ak ,t h e n (a...

    Text Solution

    |

  18. If the p^(th), q^(th) and r^(th) terms of a GP. Are again in G.P., the...

    Text Solution

    |

  19. If x gt 0, (x^(n))/(1+x+x^(2)+...+x^(2n)) is

    Text Solution

    |

  20. If a + b + c = 3 and a > 0, b>0,c>0 the greatest value of a^2b^3c^2

    Text Solution

    |