Home
Class 11
MATHS
'n' A.M's are inserted between a and 2b,...

`'n' A.M's` are inserted between a and 2b, and then between 2a and b. If `p^(th)` mean in each case is a equal,`a/b` is equal to

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

N arithmetic means are inserted in between x and 2y and then between 2x and y. In case the rth means in each case be equal, then find the ratio x/y.

Insert : n geometric means between a and b.

If eleven A.M. ‘s are inserted between 28 and 10, then find the number of integral A.M. ‘s.

Insert n arithmetic means between x and y.

The A.M. between m and n and the G.M. between a and b are each equal to (ma + nb)/(m+n) . Find m and n in terms of a and b.

If n arithmetic means are inserted between 2 and 38, then the sum of the resulting series is obtained as 200. Then find the value of ndot

What is the value of the H.M. between (a+b) and (a-b) ?

a , b , c , d are in increasing G.P. If the AM between a and b is 6 and the AM between c and d is 54 , then the AM of a and d is

Given that n numbers of AMs are inserted between two sets of numbers a, 2b and 2a, b where a,binR . Suppose further that the m th means between these sets of numbers are same, then the ratio a:b equals

If (a^(n+1)+b^(n+1))/(a^n+b^n) is the A.M between a and b then find the value of n.

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If the sum of n terms of a G.P. is 3-(3^(n+1))/(4^(2n)) , then find ...

    Text Solution

    |

  2. Which term of the G.P. 2,1, 1/2,1/4, i s1/(128)?

    Text Solution

    |

  3. 'n' A.M's are inserted between a and 2b, and then between 2a and b. If...

    Text Solution

    |

  4. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

    Text Solution

    |

  5. The first and second terms of a G.P. are x^(-4) and x^n , respectively...

    Text Solution

    |

  6. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0), then show t...

    Text Solution

    |

  7. If n arithmetic means are inserted between 2 and 38, then the sum of t...

    Text Solution

    |

  8. The first terms of  a G.P. is 1. The sum of the third and fifth ter...

    Text Solution

    |

  9. If a ,b ,c ,d ,e ,f are A.M.s between 2 and 12, then find the sum a+b+...

    Text Solution

    |

  10. Three positive numbers from an increasing G.P. If the middle term in t...

    Text Solution

    |

  11. Divide 28 into four parts in an A.P. so that the ratio of the product ...

    Text Solution

    |

  12. The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560,...

    Text Solution

    |

  13. If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a...

    Text Solution

    |

  14. If a ,b ,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) ar...

    Text Solution

    |

  15. Let Sn denote the sum of first n terms of an A.P. If S(2n)=3Sn , then ...

    Text Solution

    |

  16. If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of a...

    Text Solution

    |

  17. Find four number in an A.P. whose sum is 20 and sum of their squares i...

    Text Solution

    |

  18. Find the sum of the following series : 0. 7+0. 77+0. 777+ ton term...

    Text Solution

    |

  19. Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

    Text Solution

    |

  20. Prove that in a sequence of numbers 49,4489,444889,44448889 in which e...

    Text Solution

    |