Home
Class 11
MATHS
If p ,q ,r are in A.P., show that the pt...

If `p ,q ,r` are in A.P., show that the pth, qth and rth terms of any G.P. are in G.P.

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 p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

If p ,q ,a n dr are in A.P., then which of the following is/are true? pth, qth, and rth terms of A.P. are in A.P. pth, qth, rth terms of G.P. are in G.P. pth, qth, rth terms of H.P., are in H.P. none of these

If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to a. x y z b. 0 c. 1 d. none of these

If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P. nd also of a G.P., then x^(y-z)y^(z-x)z^(x-y) is equal to x y z b. 0 c. 1 d. none of these

If a , b and c b respectively the pth , qth and rth terms of an A.P. prove that a(q-r) +b(r-p) +c (p-q) =0

If a , b ,a n dc are respectively, the pth, qth , and rth terms of a G.P., show that (q-r)loga+(r-p)logb+(p-q)logc=0.

If a , b , c are all positive and are pth ,qth and rth terms of a G.P., then show that =|(loga, p,1),(logb, q,1),(logc ,r,1)|=0

If a , b ,and c are respectively, the pth, qth , and rth terms of a G.P., show that (q-r)loga+(r-p)logb+(p-q)logc=0.

If the pth term of an A.P. is (2p+3), find the A.P.

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. If a ,b ,c ,d are in G.P., prove that a+b,b+c ,c+d are also in G.P.

    Text Solution

    |

  2. If a ,b ,c are in G.P., then prove that loga^n ,logb^n ,logc^n are in ...

    Text Solution

    |

  3. If p ,q ,r are in A.P., show that the pth, qth and rth terms of any G....

    Text Solution

    |

  4. If S denotes the sum of an infinite G.P. adn S1 denotes the sum of the...

    Text Solution

    |

  5. The sum of first two terms of an infinite G.P. is 5 and each term is ...

    Text Solution

    |

  6. One side of an equilateral triangle is 18 cm. The mid-point of its ...

    Text Solution

    |

  7. If Sp denotes the sum of the series 1+r^p+r^(2p)+... tooo and S(p') t...

    Text Solution

    |

  8. If each term of an infinite G.P. is twice the sum of the terms foll...

    Text Solution

    |

  9. If |x|<1a n d|y|<1, find the sum of infinity of the following series:...

    Text Solution

    |

  10. Find the sum of n terms of the sequence (x+1/x)^2,(x^2+1/(x^2))^2,(x^3...

    Text Solution

    |

  11. Find the sum to n terms of the sequence given by an=2^n,n in Ndot

    Text Solution

    |

  12. Sum the series : x(x+y)+x^2(x^2+y^2)+x^3(x^3+y^3+ ton terms.

    Text Solution

    |

  13. Find the sum of the following series : 0. 7+0. 77+0. 777+ ton term...

    Text Solution

    |

  14. The product of three numbers in G.P. is 216. If 2, 8, 6, be added to ...

    Text Solution

    |

  15. Find the sum of 10 terms of the G.P. 3, 6, 12,...

    Text Solution

    |

  16. In a G.P the sum of the first and last terms is 66, the product of the...

    Text Solution

    |

  17. If S1,S2a n dS3 be respectively the sum of n, 2n and 3n terms of a G....

    Text Solution

    |

  18. Determine the number of terms in G.P. if a1=3,an=96 and Sn=189.

    Text Solution

    |

  19. How many terms of the geometric series 1+4+16+64+ will make the sum 54...

    Text Solution

    |

  20. Find the sum of an infinitely decreasing G.P. whose first term is equa...

    Text Solution

    |