Home
Class 11
MATHS
If the first and the nth terms of a G.P....

If the first and the nth terms of a G.P., are `a` and `b` respectively, and if `P` is the product of the first `n` terms. prove that `P^2=(a b)^n`

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

If the first and the nth terms of a G.P are a and b , respectively, and if P is the product of the first n terms then prove that P^2=(a b)^ndot

If the first and the nth terms of a GP are a and b respectively and if P is the product of the first n terms, then P^(2) is equal to

If the first and the nth term of a G.P. are a and b, respectively, and if P is the product of n terms , prove that P^(2)=(ab)^(n) .

The (p+q)th term and (p-q)th terms of a G.P. are a and b respectively. Find the pth term.

The first two terms of a G.P. are 125 and 25 respectively. Find the 5^(th) and the 6^(th) terms of the G.P.

The 4th and 7th terms of a G.P. are 1/(27)a n d1/(729) respectively. Find the sum of n terms of the G.P.

The first and second terms of a G.P. are x^4a n dx^n , respectively. If x^(52) is the 8th term, then find the value of ndot

The first and second term of a G.P. are x^(-4) and x^(n) respectively. If x^(52) is the 8^(th) term, then find the value of n.

The first term, second term and middle term of an A.P. are a, b and c respectively. The sum of this A.P. is :

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. What will Rs. 500 amounts to in 10 years after its deposit in a bank w...

    Text Solution

    |

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

    Text Solution

    |

  3. If the first and the nth terms of a G.P., are a and b respectively, a...

    Text Solution

    |

  4. Show that the products of the corresponding terms of the sequences a ,...

    Text Solution

    |

  5. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Find: the 8th term of the G.P. 0. 3 , 0.06 , 0.012 ,

    Text Solution

    |

  14. Find: the 12th term of the G.P. 1/(a^3x^3),\ a x ,\ a^5x^5,\ dot

    Text Solution

    |

  15. Find: n th term of the G.P. sqrt(3),1/(sqrt(3)),1/(3sqrt(3)),

    Text Solution

    |

  16. Find: the 10th term of the G.P. sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),

    Text Solution

    |

  17. Find the 4th term from the end of the G.P. 2/(27),2/9,2/3, ,, , , ,...

    Text Solution

    |

  18. Which term of the progression 0.004,0.02,0.1,… is 12.5?

    Text Solution

    |

  19. Which term of the G.P.: sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),1/(4sqrt(2)),...

    Text Solution

    |

  20. Which term of the G.P.: 2,\ 2\ sqrt(2),\ 4,\ doti s\ 128 ?

    Text Solution

    |