Home
Class 12
MATHS
If a(1),a(2),a(3),"......" be in harmoni...

If `a_(1),a_(2),a_(3),"......"` be in harmonic progression with `a_(1)=5` and `a_(20)=25`. The least positive integer n for which `a_(n)lt0` is

A

22

B

23

C

24

D

25

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

Let a_(1),a_(2),a_(3), . . . be a harmonic progression with a_(1)=5anda_(20)=25 . The least positive integer n for which a_(n)lt0 , is

Let a_(1),a_(2),a_(3),... be in harmonic progression with a_(1)=5anda_(20)=25. The least positive integer n for which a_(n)<0 a.22 b.23 c.24 d.25

a_(1),a_(2),a_(3),......,a_(n), are in A.P such that a_(1)+a_(3)+a_(5)=-12 and a_(1)a_(2)a_(3)=8 then

a_(1),a_(2),a_(3)...,a_(n) are in A.P.such that a_(1)+a_(3)+a_(5)=-12 and a_(1)a_(2)a_(3)=8 then:

If a_(1),a_(2),...a_(n) are in H.P then the expression a_(1)a_(2)+a_(2)a_(3)+...+a_(n-1)a_(n) is equal to

A squence of positive terms A_(1),A_(2),A_(3),"....,"A_(n) satisfirs the relation A_(n+1)=(3(1+A_(n)))/((3+A_(n))) . Least integeral value of A_(1) for which the sequence is decreasing can be

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Let a ,b be positive real numbers. If a A1, A2, b be are in arithmetic...

    Text Solution

    |

  2. Sum of the series S(n) =(n) (n) + (n-1) (n+1) + (n-2) (n+2) + …+ 1(2n-...

    Text Solution

    |

  3. Suppose for each n in N, 1^(4)+2^(4)+3^(4)+….+n^(4)=an^(5)+bn^(4)+cn^(...

    Text Solution

    |

  4. Value of S=2012+(1)/(3)(2011+(1)/(3)(2010+(1)/(3)(2009+(1)/(3)(2+(1)/(...

    Text Solution

    |

  5. Suppose a,b,c are positive real numbers satisfying the system of equat...

    Text Solution

    |

  6. Suppose a,b,c are distinct positive real numbers such that a,2b,3c are...

    Text Solution

    |

  7. Let Sn denote the sum of the cubes of the first n natural numbers and ...

    Text Solution

    |

  8. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  9. Simplify P=1/(2sqrt(1)+sqrt(2))+1/(3sqrt(2)+2sqrt(3))+....+1/(100sqrt...

    Text Solution

    |

  10. sqrt(2sqrt(2sqrt(2sqrt(2....))))=

    Text Solution

    |

  11. Let [x] denote the greatest integer less than or equal to x, what is t...

    Text Solution

    |

  12. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

    Text Solution

    |

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

    Text Solution

    |

  14. Let an be the n^(t h) term of an A.P. If sum(r=1)^(100)a(2r)=alpha&su...

    Text Solution

    |

  15. If m times the mth term of an A.P. with non-zero common difference equ...

    Text Solution

    |

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

    Text Solution

    |

  17. A species has an initial population 4^(10). At the end of first day, t...

    Text Solution

    |

  18. The sum of the first three terms of an A.P. is 9 and the sum of their ...

    Text Solution

    |

  19. The series of natural numbers is divided into groups:(1);(2,3,4);(5,6,...

    Text Solution

    |

  20. In a arithmetic progression of 16 distinct terms with a(1)=16, the sum...

    Text Solution

    |