Home
Class 11
MATHS
If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A....

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

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTIONBANK|79 Videos

  • SETS

    V PUBLICATION|Exercise QUESTION BANK|116 Videos

Similar Questions

Explore conceptually related problems

If (n!)/((n-2)!)=56 , find the value of n

Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the G. M. between a and b.

If the sub-normal at any point on y = a^(1-n) x^(n) is of constant length, then find the value of n.

If a_(n+1)= (1)/(1-a_(n)) for n gt=1 and a_(3) = a_(1) then find the value of (a_(2001))^(2001) .

Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the geometric mean between a and b

If (1 + ax)^(n) = 1 + 6x + (27)/(2) x^(2)+…+a^(n)x^(n) , then the values of a and n are respectively

Let {a_(n)} (n gt= 1 ) be a sequence such that a_(1) = 1 and 3a_(n+1)-3a_(n)=1 for all n gt= 1 . Then find the value of a_(2002) .

If A,B and C are n xx n matrix and det (A) = 2, det (B)= 3, and det (C ) = 5, then find the value of the det (A^(2) BC^(-1)) .

If |(x^(n),x^(n+2),x^(2n)),(1,x^(a),a),(x^(n+5),x^(a+6),x^(2n+5))|=0AAx inR , where n in N then value of 'a' is a)n b)n-1 c)n+1 d)None of these

find a_9ifa_n=(-1)^(n-1)n^3

V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. If the sum of n terms of an A.P is 3n^2+5n and its m^(th) term is 164....

    Text Solution

    |

  2. Insert five numbers between 8 and 26 such that the resulting sequence...

    Text Solution

    |

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

    Text Solution

    |

  4. Between 1 and 31, m numbers have been inserted in such a way that the ...

    Text Solution

    |

  5. A man starts repaying a loan as a first instalment of Rs. 100. If he i...

    Text Solution

    |

  6. The difference between any two consecutive interior angles of a polygo...

    Text Solution

    |

  7. Find the 10^(th) and n^ (th) terms of the G.P. 5,25,125, . . .

    Text Solution

    |

  8. Which term of the G.P., 2,8,32, ., up to n terms is 131072 ?

    Text Solution

    |

  9. In a.G.P., the 3^( rd ) term is 24 and the 6^ (th) term is 192 . Find...

    Text Solution

    |

  10. Using progression, find the sum of first five terms of the series 1+2/...

    Text Solution

    |

  11. How many terms of the GP 3,3/2,3/4,….are needed to give the sum 3069/5...

    Text Solution

    |

  12. The sum of first three terms of a Geometric Progression is 13/12 and t...

    Text Solution

    |

  13. Find the sum to n terms of the sequence 7,77,777,7777,…….

    Text Solution

    |

  14. A person has 2 parents, 4 grandparents, 8 great grandparents, and so o...

    Text Solution

    |

  15. Insert three numbers between 1 and 256 so that the resulting sequence ...

    Text Solution

    |

  16. If AM and GM of two numbers are 10 and 8 respectively, find the number...

    Text Solution

    |

  17. Find the 20^( th) and n^ (th) terms of the G. P, 5/2, 5/4, 5/8...

    Text Solution

    |

  18. Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the commo...

    Text Solution

    |

  19. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

    Text Solution

    |

  20. The 4^(th) term of a G.P. is square of its second term and the first t...

    Text Solution

    |