Home
Class 12
MATHS
Insert four H.M.s between 2/3 and 2/13....

Insert four H.M.s between 2/3 and 2/13.

Text Solution

Verified by Experts

`d=(13/2-3/2)/5=1`
`therefore1/(H_(1))=3/2+1=5/2` or `H_(1)=2/5`
`1/H_(2)=3/2+2=7/2orH_(2)=2/7`
`1/H_(3)=3/2+3=9/2` or `H_(3)=2/9`
`1/H_(4)=3/2+4=11/2` or `H_(4)=2/11`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.1|3 Videos
  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.2|10 Videos
  • PROGRESSION AND SERIES

    CENGAGE|Exercise Single correct Answer|54 Videos
  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos
  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

Insert four G.M.s between 2 and 486

Insert 7 G. M.'s between 2 and 162

Insert 7 A.M.l's between 2 and 34

Insert p A.M.'s between 1 and p^(2)

Insert 7 A.M.s between 2 and 17

Insert 20 A.M. between 2 and 86.

Insert six A.M.s between 15 and -13

Insert 4 A.M.s between 4 and 19

CENGAGE-PROGRESSION AND SERIES-Examples
  1. If first three terms of the sequence 1//16 ,a , b , c1//16 are in geom...

    Text Solution

    |

  2. if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r...

    Text Solution

    |

  3. Insert four H.M.s between 2/3 and 2/13.

    Text Solution

    |

  4. If nine arithmetic means and nine harmonic means are inserted between ...

    Text Solution

    |

  5. Let a ,b be positive real numbers. If a A1, A2, b be are in arithmetic...

    Text Solution

    |

  6. The A.M. and H.M. between two numbers are 27 and 122, respectively, ...

    Text Solution

    |

  7. If the A.M. between two numbers exceeds their G.M. by 2 and the GM. ...

    Text Solution

    |

  8. Find the sum 2017+1/4(2016+1/4(2015+…+1/4(2+1/4(1))..))

    Text Solution

    |

  9. The sum of 50 terms of the series 1+2(1+1/(50))+3(1+1/(50))^2+ is give...

    Text Solution

    |

  10. Find the sum to ininity of the series 1-3x+5x^2+7x^3+..... oo when Ix|...

    Text Solution

    |

  11. The sum of the infinite series 1+(1+1/5)(1/2)+(1+1/5+1/(5^2))(1/(2^2))...

    Text Solution

    |

  12. If the sum to infinity of the series 3+(3+d)1/4+(3+2d)1/(4^2)+oo is (4...

    Text Solution

    |

  13. Find the sum to infinity of the series 1^2+2^2+3^2+4^2+oodot

    Text Solution

    |

  14. Find the sum 2xx5+5xx9+8xx13+11xx17+.. n terms.

    Text Solution

    |

  15. Find the sum of the series 1xxn+2(n-1)+3xx(n-2)++(n-1)xx2+nxx1.

    Text Solution

    |

  16. For and odd integer n ge 1, n^(3) - (n - 1)^(3) + …… + (- 1)^(n-1) ...

    Text Solution

    |

  17. Find the sum of the series (1^3)/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+...

    Text Solution

    |

  18. Find the sum of first n terms of the series 1^3+3xx2^2+3^3+3xx4^2+5^3+...

    Text Solution

    |

  19. If Sigma(r=1)^(n) T(r)=n(2n^(2)+9n+13), then find the sum Sigma(r=1)^(...

    Text Solution

    |

  20. Find the sum to n terms of the series 3+15+35+63+

    Text Solution

    |