Home
Class 12
MATHS
If (a^(n) + b^(n))/(a^(n-1) + b^(n-1)) i...

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

A

0

B

1

C

`-1`

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise STRAIGHT LINES|24 Videos

  • SETS AND RELATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

If (a^(n+1)+b^(n+1))/(a^n+b^n) is the AM of a and b then n = …………

If there are n AM's between a and b then d = ………………

If H_(1), H_(2), ….. H_(n) are n harmonic means between a and b ( ne a), then the value of (H_(1) + a)/(H_(1) - a) + (H_(n) + b)/(H_(n) - b)

If n A.M.'s are inserted between 4 and 96 then sum of n A.M.'s is

n A.M.'s are inserted between 2 and 100 then sum of n A.M's is

IF ""^(n+5)P_(n-1) = (11 (n-1))/(2)""^(n+3)P_n then the value of n is

IF A subset B , n(A)=12 and n(B)=20, then the value of n(B-A) is

If n A.M.'s are inserted between 20 and 80 such that the ratio of first mean to the last mean is 1:3 then the value of n is

Can we conclude (a^(2n+1) + b^(2n+1)) is divisible by (a + b)?

AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If (a^(n) + b^(n))/(a^(n-1) + b^(n-1)) is the A.M. between a and b the...

    Text Solution

    |

  2. If sum of the series a- (a+d) + (a+ 2d)- (a + 3d) +….up to 21 terms is

    Text Solution

    |

  3. The first term of an A.P of consecutive integers is p^(2) + 1 . The su...

    Text Solution

    |

  4. The sum of n terms of an A.P is 3n^(2) +n. Then 8^(th) term of the A.P...

    Text Solution

    |

  5. The ratio between the sum of n terms of two A.P.'s is 3n+8: 7n+15. The...

    Text Solution

    |

  6. The sum of all integers between 50 and 500 which are divisible by 7 is

    Text Solution

    |

  7. If 5^(th) term of A.P is (1)/(6) and 6^(th) term of A.P is (1)/(5) the...

    Text Solution

    |

  8. The interior angles of a polygon are in A.P. if the smallest angle is ...

    Text Solution

    |

  9. The sum of r terms of an A.P. is denoted by S(r ) and (S(m+1))/(S(n+1)...

    Text Solution

    |

  10. The n^(th) term of an A.P is p and the sum of the first n terms is s. ...

    Text Solution

    |

  11. If s(1), s(2), s(3)…..s(p) are the sums of n terms of 'p' A.P's whose ...

    Text Solution

    |

  12. If a(1), a(2), a(3)…..a(n) are in A.P. with common difference d then s...

    Text Solution

    |

  13. If S(1), S(2), S(3) be the sum of 10, 20, 30 terms respectively of an ...

    Text Solution

    |

  14. The first, second and last terms of an A.P. are a, b, c respectively, ...

    Text Solution

    |

  15. If the sum of the first ten terms of an A.P is four times the sum of i...

    Text Solution

    |

  16. If a,b,c are in A.P then a((1)/(b) + (1)/(c )), b ((1)/(c ) + (1)/(a))...

    Text Solution

    |

  17. If p, q, r are in A.P the p^(2) (q + r), q^(2) (r + p), r^(2) (p+q) ar...

    Text Solution

    |

  18. If the A.M. between p^(th) and q^(th) terms of an A.P be equal to A.M ...

    Text Solution

    |

  19. If n A.M's are inserted between two quantites a and b then their sum i...

    Text Solution

    |

  20. If n A.M.'s are inserted between 4 and 96 then sum of n A.M.'s is

    Text Solution

    |

  21. If n A.M.'s are inserted between 20 and 80 such that the ratio of firs...

    Text Solution

    |