Home
Class 14
MATHS
If a(1),a(2),a(3)(a(1)gt0) are three suc...

If `a_(1),a_(2),a_(3)(a_(1)gt0)` are three successive terms of a GP with common ratio r, the value of r for which `a_(3)gt4a_(2)-3a_(1)` holds is given by

A

`1ltrlt3`

B

`-3ltrlt-1`

C

`rlt1` and `rgt3`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

If a_(1),a_(2),a_(3)(a_(1)>0) are three successive terms of a G.P.with common ratio r, for which a+3>4a_(2)-3a_(1) holds is given by a.1 3 or r<1 d.none of these

If a_(1),a_(2),a_(3) are 3 positive consecutive terms of a GP with common ratio K .then all the values of K for which the inequality a_(3)>4a_(2)-3a_(1) is satisfied

If a_(1), a_(2), a_(3)(a_(1)gt 0) are in G.P. with common ratio r, then the value of r, for which the inequality 9a_(1)+5 a_(3)gt 14 a_(2) holds, can not lie in the interval

Let a_(1),a_(2),a_(3) , be three positive numbers which are G.P. with common ratio r. The inequality a_(3) gt a_(2) + 2a_(1) do not holds if r is equal to

Let a_(1), a_(2), a_(3) be three positive numbers which are in geometric progression with common ratio r. The inequality a_(3) gt a_(2)+2a_(1) holds true if r is equal to

If a_(1), a_(2), a_(3), a_(4), a_(5) are consecutive terms of an arithmetic progression with common difference 3, then the value of |(a_(3)^(2),a_(2),a_(1)),(a_(4)^(2),a_(3),a_(2)),(a_(5)^(2),a_(4),a_(3))| is

If a_(1),a_(2),a_(3),a_(4) and a_(5) are in AP with common difference ne 0, find the value of sum_(i=1)^(5)a_(i) " when " a_(3)=2 .

If a_(1),a_(2),a_(3),.... are in G.P. with common ratio as r^(2) then log a_(1),log a_(2),log a_(3),.... will be in

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. If three positive real numbers a,b,c, are in A.P. such that a*b*c=4 , ...

    Text Solution

    |

  2. Three numbers form an increasing G.P. . If the middle number is double...

    Text Solution

    |

  3. If a(1),a(2),a(3)(a(1)gt0) are three successive terms of a GP with com...

    Text Solution

    |

  4. Let an be the nth term of an A.P. and a7=22, trhen the value of the co...

    Text Solution

    |

  5. If the A.M of two positive numbers a and b, (a gt b) is twice their G....

    Text Solution

    |

  6. Find the number of common terms to the two sequences 17,21,25,...,417 ...

    Text Solution

    |

  7. The sum of n terms of the series (1)/(sqrt(1) + sqrt3) + 1/(sqrt3 +...

    Text Solution

    |

  8. Let Tr be the rth term of an A.P., for r=1,2,3, If for some positive...

    Text Solution

    |

  9. Find the sum to n terms of the series 3+6 + 10 + 16 + …

    Text Solution

    |

  10. In a certain colony of cancerous cells , each cell divides into two ev...

    Text Solution

    |

  11. Divakar and Subhank set out to meet each other from Delhi and Saharanp...

    Text Solution

    |

  12. Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + .......

    Text Solution

    |

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

    Text Solution

    |

  14. Find the sum of n terms of the series 1.3.5.+3.5..7+5.7.9+...

    Text Solution

    |

  15. What is the sum of 100 terms of the series 1-2+3-4+5-6+…. ?

    Text Solution

    |

  16. An infinite G.P has first term x and sum 5 then x belongs

    Text Solution

    |

  17. The next term of the sequence 1,5,14,30,55,... is

    Text Solution

    |

  18. The nth term of an A.P. is (5n-1). Find the sum of its 'n' terms.

    Text Solution

    |

  19. A can do work in 18 days. he work at it for 12 days and B finished th...

    Text Solution

    |

  20. If q = 9999 , find the value of q ( q + 2 ) is:

    Text Solution

    |