Home
Class 11
MATHS
Find a G.P. for which sum of the first...

Find a G.P. for which sum of the first two terms is `-4` and the fifth term is 4 times the third term.

Text Solution

Verified by Experts

Let 'a' be the first term and 'r' be the common ratio of given G.P,
Here `a + ar = - 4`
`a(1+r)=−4 ........(i)`
and `a^5=4a^3`
...
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|157 Videos

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|5 Videos

Similar Questions

Explore conceptually related problems

Find a G.P.for which sum of the first two terms is and the fifth term is 4 xx the third term.

In a GP, the sum of first two terms is -4 and the 5th term is 4 times the 3rd term. Find the GP.

Find the G.P. if the sum of its first two terms is 5 and each term is equal to 3 times the sum of its succeeding terms.

In a G.P.the product of the first four terms is 4 and the second term is the reciprocal of the fourth term.The sum of infinite terms of the G.P is

The product of three consecutive terms of a GP Is -64 and the first term is four times the third. Find the terms.

The first term of a G.P.is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.

The sum of all terms of an arithmetic progression having ten terms except for the first term is 99. Find the third term of the progression if the sum of the first term and the fifth term is equal to 10 .

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

In an A.P. the third term is four times the first term, and the sixth term is 17 , find the series.

RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. The first term of a G.P. is 1. The sum of the third and fifth terms is...

    Text Solution

    |

  2. If the 4th and 9th terms of a G.P. be 54 and 13122 respectively, fi...

    Text Solution

    |

  3. Find a G.P. for which sum of the first two terms is -4 and the fifth...

    Text Solution

    |

  4. (ii)If the third term of G.P.is 4, then find the product of first five...

    Text Solution

    |

  5. If the p t h ,\ q t h\ a n d\ r t h terms of a G.P. are a ,\ b ,\ c re...

    Text Solution

    |

  6. Find four numbers forming a geometric progression in which the third ...

    Text Solution

    |

  7. The number of bacteria in a certain culture doubles every hour. If ...

    Text Solution

    |

  8. What will Rs. 500 amounts to in 10 years after its deposit in a bank w...

    Text Solution

    |

  9. A manufacturer reckons that the value of a machine, which costs him Rs...

    Text Solution

    |

  10. If the first and the nth terms of a G.P., are aa n db , respectively, ...

    Text Solution

    |

  11. Show that the products of the corresponding terms o the sequences a ,\...

    Text Solution

    |

  12. If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G...

    Text Solution

    |

  13. Show that each of one of the following progression is a G.P. Also, fin...

    Text Solution

    |

  14. Show that each of one of the following progression is a G.P. Also, fin...

    Text Solution

    |

  15. Show that each of one of the following progression is a G.P. Also, ...

    Text Solution

    |

  16. Show that each of one of the following progression is a G.P. Also, ...

    Text Solution

    |

  17. Show that the sequence defined by an=2/(3^n),\ n in N\ is a G.P.

    Text Solution

    |

  18. Find: the ninth term of the G.P. 1,4,16,64,………

    Text Solution

    |

  19. Find: the 10th term of the G.P. -3/4,1/2,-1/3,2/9, dot

    Text Solution

    |

  20. Find: the 8th term of the G.P. 0. 03 , 0.06 , 0.012 ,

    Text Solution

    |