Home
Class 11
MATHS
If the pth, qth, and rth terms of an A.P...

If the pth, qth, and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is `(p r)/(q^2)` b. `r/p` c. `(q+r)/(p+q)` d. `(q-r)/(p-q)`

A

A.P.

B

G.P.

C

H.P.

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos
  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos
  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If the pth, qth, and rth terms of an A.P. are in G.P., then the common ratio of the G.P. is a. (p r)/(q^2) b. r/p c. (q+r)/(p+q) d. (q-r)/(p-q)

If the pth ,qth and rth terms of an AP are in G.P then the common ration of the GP is

If the pth, qth and rth terms of an A. P. are in G.P., prove that the common ratio of the G.P. is (q-r)/(p-q) .

If pth, qth , rth and sth terms of an AP are in GP then show that (p-q), (q-r), (r-s) are also in GP

If the pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,q-r ,r-s are in a. A.P. b. G.P. c. H.P. d. none of these

If the pth, qth, rth, and sth terms of an A.P. are in G.P., t hen p-q ,q-r ,r-s are in a. A.P. b. G.P. c. H.P. d. none of these

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

The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, then

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

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

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
  1. The geometric mean between -9 and -16 is 12 b. -12 c. -13 d. none of t...

    Text Solution

    |

  2. The sum of n terms of an A.P. is 3n^(2)+5. The number of term which eq...

    Text Solution

    |

  3. If the pth, qth, and rth terms of an A.P. are in G.P., then the common...

    Text Solution

    |

  4. If log2,log(2^x-1)a n dlog2log(2^x+3) are in A.P., write the value of ...

    Text Solution

    |

  5. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

    Text Solution

    |

  6. If x ,y ,z are distinct positive numbers, then prove that (x+y)(y+z)(z...

    Text Solution

    |

  7. a, b, c are sides of a triangle and a, b, c are in GP If log a- log ...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. If x^(a)=x^(b//2)z^(b//2)=z^(c), then a,b,c are in

    Text Solution

    |

  10. A G.P. consists of an even number of terms. If the sum of all the t...

    Text Solution

    |

  11. The interior angles of a polygon are in A.P. the smallest angle is 120...

    Text Solution

    |

  12. For what value of b, will the roots of the equation cos x=b, -1legle1 ...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. Find the sum of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))+"....." ...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. the determinant |{:(a,,b,,aalpha+b),(b,,c,,balpha+c),(aalpha+b,,balpha...

    Text Solution

    |

  17. Find the sum 1+(1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+ …. To n terms.

    Text Solution

    |

  18. If a,b,c are in H.P., then the value of ((1)/(b)+(1)/(c)-(1)/(a))((1...

    Text Solution

    |

  19. The 5th term of the series (10)/(9),(1)/(3)sqrt((20)/(3)),(2)/(3),… is

    Text Solution

    |

  20. If x^(18)=y^(21)=z^(28), then 3,3 log(y)x,3log(z)y,7log(x)z are in

    Text Solution

    |