Home
Class 11
MATHS
The sum of first three terms of a G.P. i...

The sum of first three terms of a G.P. is 13/12 and their product is -1. Find the G.P.

Text Solution

AI Generated Solution

To solve the problem, we need to find the first three terms of a geometric progression (G.P.) given that their sum is \( \frac{13}{12} \) and their product is \( -1 \). ### Step-by-step Solution: 1. **Assume the terms of the G.P.**: Let the first term be \( a \) and the common ratio be \( r \). The first three terms can be expressed as: \[ \frac{a}{r}, \quad a, \quad ar ...
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

The sum of first three terms of a G.P.is (13)/(12) and their product is . Find the common ratio and the terms.

The sum of first three terms of a G.P. is (39)/(10) and their product is 1. Find the common ratio and the terms.

The sum of first three terms of a G.P.is (39)/(10) and their product is 1. Find the common ratio and the terms.

The sum of first three terms of a G.P. is 21 and sum of their squares is 189. Find the common ratio :

Let the sum of first three terms of G.P.with real terms be 13/12 and their product is -1. If the absolute value of the sum of their infinite terms is S, then the value of 7S is

The sum of the first three terms of a G.P is S and their product is 27 . Then all such S lie in :

The sum of first three terms of a G.P. is 15 and sum of next three terms is 120. Find the sum of first n terms.

If the sum of three consecutive terms of a G.P. is 38 and their product is 1728, then find these three consecutive terms.

Sum of three terms in a G.P.is 31 and product is 125. Find the number

RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. Find three numbers in G.P. whose sum is 65 and whose product is 3375.

    Text Solution

    |

  2. If the sum of three numbers in G.P. is 38 and their product is 1728, ...

    Text Solution

    |

  3. The sum of first three terms of a G.P. is 13/12 and their product is ...

    Text Solution

    |

  4. The product of the three numbers in G.P. is 125 and sum of their pr...

    Text Solution

    |

  5. The sum of first three terms of a G.P. is (39)/(10) and their product ...

    Text Solution

    |

  6. The sum of three numbers in G.P. is 14. If the first two terms are eac...

    Text Solution

    |

  7. Find three numbers in G.P. whose product is 729 and the sum of their ...

    Text Solution

    |

  8. The sum of three numbers in G.P. is 21 and the sum of their squares is...

    Text Solution

    |

  9. Find the sum of 7 terms of the G.P. 3,6,12…

    Text Solution

    |

  10. Find the sum of 7 terms of the sequence (1/5+2/(5^2)+3/(5^3)),\ (1/(5^...

    Text Solution

    |

  11. Find the sum of the series 2+6+18++4374

    Text Solution

    |

  12. The sum of first three terms of a G.P is 16 and the sum of the next th...

    Text Solution

    |

  13. Find a G.P. for which sum of the first two terms is -" "4 and the f...

    Text Solution

    |

  14. The sum of some terms of a G.P. is 315 whose first term and the common...

    Text Solution

    |

  15. Find the sum of the products of the corresponding terms of the sequ...

    Text Solution

    |

  16. if S is the sum , P the product and R the sum of reciprocals of n term...

    Text Solution

    |

  17. A person writes a letter to four of his friends. He asks each one of ...

    Text Solution

    |

  18. If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N suc...

    Text Solution

    |

  19. Find the natural number a for which sum(k=1)^nf(a+k)=16(2^n-1), where...

    Text Solution

    |

  20. Find the sum of the following geometric progression: 2,6,18… to 7 term...

    Text Solution

    |