Home
Class 11
MATHS
If in an infinite G.P., first term is eq...

If in an infinite G.P., first term is equal to 10 times the sum of all successive terms then its common ratio is `1//10` b. `1//11` c. `1//9` d. `1//20`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|200 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|22 Videos

Similar Questions

Explore conceptually related problems

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

The first term of an infinite G.P. is 1 any term is equal to the sum of all the succeeding terms. Find the series.

The first term of an infinite G.P. is 1 and every term is equals to the sum of the successive terms, then its fourth term will be

In a G.P of positive terms if any term is equal to the sum of the next two terms, then the common ratio of the G.P is

Find the common ratio of an infinte GP. Whose each term is ten times the sum of all its succeding terms.

If the sum of first two terms of an infinite G.P is 1 and every term is twice the sum of all the successive terms then its first term is

Sum of an infinitely manu terms of a G.P. is 3 times the sum of even terms. The common ratio of the G.P. is

Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The common ratio of the G.P. is

If the first term of an infinite G.P. is 1 and each term is twice the sum of the succeeding terms, then the sum of the series is

An infinite G.P. has first term as a and sum 5, then a belongs to a) |a| 10

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. Find the two numbers whose A.M. is 25 and GM is 20.

    Text Solution

    |

  2. If A and G are respectively arithmetic and geometric mean between posi...

    Text Solution

    |

  3. The sum of two numbers is 6 times their geometric means, show that nu...

    Text Solution

    |

  4. If A.M. and GM. of roots of a quadratic equation are 8 and 5, respe...

    Text Solution

    |

  5. If AM and GM of two positive numbers a\ a n d\ b are 10 and 8 respecti...

    Text Solution

    |

  6. If the fifth term of a G.P. is 2, then write the product of its 9 t...

    Text Solution

    |

  7. If (p+q)^(t h)a n d\ (p-q)^(t h) terms of a G.P. re m\ a n d\ n respec...

    Text Solution

    |

  8. If (log)x a ,\ a^(x//2) and (log)b x are in G.P., then write the value...

    Text Solution

    |

  9. If the sum of an infinite decreasing G.P. is 3 and the sum of the squa...

    Text Solution

    |

  10. If p^(th), q^(th) and r^(th) terms of G.P. are x,y,z respectively then...

    Text Solution

    |

  11. If A1 and A2 are two A.M.s between a and b and G1 and G2 are two G.M.s...

    Text Solution

    |

  12. If second, third and sixth terms of an A.P. are consecutive terms of a...

    Text Solution

    |

  13. If A and G are respectively arithmetic and geometric mean between posi...

    Text Solution

    |

  14. If n geometric means are inserted between two quantities ; then the pr...

    Text Solution

    |

  15. If a=1+b+b^2+b^3+...... to\ oo , then write b in terms of a given that...

    Text Solution

    |

  16. If in an infinite G.P., first term is equal to 10 times the sum of all...

    Text Solution

    |

  17. If the first term of a G.P. a1, a2, a3, ddot is unity such that 4a2+5...

    Text Solution

    |

  18. If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^...

    Text Solution

    |

  19. The first three of four given numbers are in G.P. and their last three...

    Text Solution

    |

  20. If S be the sum P the product and R be the sum of the reciprocals of n...

    Text Solution

    |