Home
Class 12
MATHS
An infinite GP has first term x and sum ...

An infinite GP has first term `x` and sum 5, then `x` belongs to (2004, 1M) `x<-10` (b) `-10 10`

A

`x lt - 10`

B

`-10 lt x lt 0`

C

`0 lt x lt 10`

D

`x gt 10`

Text Solution

Verified by Experts

The correct Answer is:
C
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

An infinite G.P has first term x and sum 5 then x belongs to?

An infinite GP has first term x and sum 5, then x belongs to (2004,1M)(a)x 10

An infinite G.P has first term x and sum 5 then x belongs

An infinite G.P.has first term as a and sum 5, then

An infinite G.P. has 2^(nd) term x and its sum is 4 . Then x belongs to

Statement 1: If an infinite G.P. has 2nd term x and its sum is 4, then x belongs to (-8,1)dot Statement 2: Sum of an infinite G.P. is finite if for its common ratio r ,0<|r|<1.

DISHA PUBLICATION-SEQUENCES AND SERIES -EXERCISE -1 : Concept Builder
  1. Suppose x and y are real numbers such that -1 lt x lt y lt 1 Let G be ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If 1/(b-a)+1/(b-c)=1/a+1/c , then a,b,c are in (A) AP (B) GP (C) ...

    Text Solution

    |