Home
Class 12
MATHS
If the 2(nd), 5(th) and 9(th) term of A....

If the `2_(nd), 5_(th) and 9_(th)` term of A.P. are in G.P. then find the common ratio of G.P.

A

1

B

`(7)/(4)`

C

`(8)/(5)`

D

`(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`because a+d, a+4d, a+8d"are in GP"(dne 0)`
`:." "(a+4d)^2 =(a+d)(a+8d)`
`rArr" "a=8d`
`:." Common ratio" = (a+4d)/(a+d)=(8d+4d)/(8d+d)=4/3" "(because a = 8d)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|24 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

If p^(th),q^(th) and r^(th) terms of an A.P.are in G.P. then the common ratio of G.P.is-

If the 2nd , 5th and 9th terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is : (1) 8/5 (2) 4/3 (3) 1 (4) 7/4

The pth, (2p)th and (4p)th terms of an AP, are in GP, then find the common ratio of GP.

If the 2^(nd),56^(th) and 9^(th) terms of a non- constant A.P are in G.P.then the common ratio of this G.P.is

If the 2nd, 5th and 19th terms of a non-constant AP are in GP, then the common ratio of this GP is

Find the Find the term of a G.P.whose 8th term is 192 and the common ratio is 2 .

If pth, qth, rth terms of an A.P. are in G.P. then common ratio of ths G.P. is (A) (q-r)/(p-q) (B) (q-s)/(p-r) (C) (r-s)/(q-r) (D) q/p

ARIHANT MATHS-SEQUENCES AND SERIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The minimum value of the sum of real numbers a^(-5),a^(-4),3a^(-3),1,a...

    Text Solution

    |

  2. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  3. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)=alpha " and ...

    Text Solution

    |

  4. If a(1),a(2),a(3),"......" be in harmonic progression with a(1)=5 and ...

    Text Solution

    |

  5. Statement 1 The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+"……."+(...

    Text Solution

    |

  6. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  7. If x,y,z are in AP and tan^(-1)x,tan^(-1)y,tan^(-1)z are also in AP, ...

    Text Solution

    |

  8. The sum of first 20 terms of the sequence 0.7,0.77,0.777,"……" is

    Text Solution

    |

  9. Let S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/(2))*k^(2), then S(n) can take va...

    Text Solution

    |

  10. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

    Text Solution

    |

  11. If (10)^(9)+2(11)^(1)(10)^(8)+3(11)^(2)(10)^(7)+"........"+(10)(11)^(9...

    Text Solution

    |

  12. Three positive numbers form an increasing GP. If the middle terms in t...

    Text Solution

    |

  13. Let a,b,c be positive integers such that (b)/(a) is an integer. If a,b...

    Text Solution

    |

  14. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  15. If m is the AM of two distinct real numbers l and n (l,ngt1) and G(1)...

    Text Solution

    |

  16. Soppose that all the terms of an arithmetic progression (AP) are natur...

    Text Solution

    |

  17. If the 2(nd), 5(th) and 9(th) term of A.P. are in G.P. then find the c...

    Text Solution

    |

  18. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

    Text Solution

    |

  19. Let b(i)gt1" for "i=1,2,"......",101. Suppose log(e)b(1),log(e)b(2),lo...

    Text Solution

    |

  20. For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-...

    Text Solution

    |