Home
Class 14
MATHS
An infinite G.P has first term x and sum...

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

A

`xlt-10`

B

`-10ltxlt0`

C

0ltxlt10`

D

`xgt10`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos
  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

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

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

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.

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

Find the sum of an infinite G.P. whose first term is 28 and the second term is 4.

Find an infinite G.P.whose first term is 1 and each term is the sum of all the terms which follow it.

In an infinite G.P. the sum of first three terms is 70. If the externme terms are multipled by 4 and the middle term is multiplied by 5, the resulting terms form an A.P. then the sum to infinite terms of G.P. is :

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. Find the sum of n terms of the series 1.3.5.+3.5..7+5.7.9+...

    Text Solution

    |

  2. What is the sum of 100 terms of the series 1-2+3-4+5-6+…. ?

    Text Solution

    |

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

    Text Solution

    |

  4. The next term of the sequence 1,5,14,30,55,... is

    Text Solution

    |

  5. The nth term of an A.P. is (5n-1). Find the sum of its 'n' terms.

    Text Solution

    |

  6. A can do work in 18 days. he work at it for 12 days and B finished th...

    Text Solution

    |

  7. If q = 9999 , find the value of q ( q + 2 ) is:

    Text Solution

    |

  8. If 0ltalt1 and 9leble10, then

    Text Solution

    |

  9. An A.P. whose first term is unity and in which the sum of the first ha...

    Text Solution

    |

  10. The number of divisors of 187, 637 and 1001 are in:

    Text Solution

    |

  11. The sum of n terms of the series 1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5...

    Text Solution

    |

  12. If |a| lt 1 and |b| lt 1 , then the sum of the series a(a+b) + a^2...

    Text Solution

    |

  13. Find the sum to n terms of the series 3//(1^2xx2^2)+5//(2^2xx3^2)+7//(...

    Text Solution

    |

  14. The natural numbers are written as follows : The sum of numbers...

    Text Solution

    |

  15. The number ubrace(1111.....1)("119 times") is a:

    Text Solution

    |

  16. The interior angles of a polygon are in A.P. If the smallest angle is ...

    Text Solution

    |

  17. log(10)10+log(10)10^(2)+ . . .+log(10)10^(n)

    Text Solution

    |

  18. The value of 0.1bar23 is:

    Text Solution

    |

  19. If n is a positive integer, then ubrace(111...1)("2n times")-ubrace(22...

    Text Solution

    |

  20. One side of an equilateral triangle is 24 cm. The midpoints of its sid...

    Text Solution

    |