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

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

A

a.0

B

b.1

C

c.`(1)/(2)`

D

d.none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos
  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

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

The value of n for which ( a ^(n+1) +b^(n+1))/( a^(n) + b^(n)) is the A.M. between a and b is :

IF 1+2+3+………..+n=78, then the value of n is:

If ,^(n) P_r=^n P_(r+1) and ^n C_r=^n C_(r-1,) then the value of n+r is.

If .^(20)C_(n+1) = ^ (n) C_(16) , then the value of n is

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.

The value of lim_(nto oo)(a^(n)+b^(n))/(a^(n)-b^(n)), (where agtbgt1 is

The nth term of a series is given by t_(n)=(n^(5)+n^(3))/(n^(4)+n^(2)+1) and if sum of its n terms can be expressed as S_(n)=a_(n)^(2)+a+(1)/(b_(n)^(2)+b) where a_(n) and b_(n) are the nth terms of some arithmetic progressions and a, b are some constants, prove that (b_(n))/(a_(n)) is a costant.

Let a, b, c be such that b(a+c) ne 0 . If |[a,a+1,a-1],[-b,b+1,b-1],[c,c-1,c+1]|+ |[a+1,b+1,c-1],[a-1,b-1,c+1],[(-1)^(n+2) a ,(-1)^(n+1) b ,(-1)^(n) c]|=0 then the value of n is

The sequence a_(1),a_(2),a_(3),".......," is a geometric sequence with common ratio r . The sequence b_(1),b_(2),b_(3),".......," is also a geometric sequence. If b_(1)=1,b_(2)=root4(7)-root4(28)+1,a_(1)=root4(28)" and "sum_(n=1)^(oo)(1)/(a_(n))=sum_(n=1)^(oo)(b_(n)) , then the value of (1+r^(2)+r^(4)) is

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. For what values of x, the numbers -2/7 , x, -7/2 are in G.P ?

    Text Solution

    |

  2. The value of n for which ( a ^(n+1) +b^(n+1))/( a^(n) + b^(n)) is the...

    Text Solution

    |

  3. If (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) is an G.M between a and b then the ...

    Text Solution

    |

  4. If the sum of first p terms of an A.P is equal to the sum of the first...

    Text Solution

    |

  5. Find the sum to n terms of the A.P., whose k^("th") term is 5k + 1.

    Text Solution

    |

  6. If the sum of n terms of an A . P is 3n^(2)+5n and its m^(th) term is ...

    Text Solution

    |

  7. The 12^(th) common terms between the series 3+7+11+.. And 1+6+11+.. .+...

    Text Solution

    |

  8. Find the sum of all two digit numbers which when divided by 4, yields ...

    Text Solution

    |

  9. The number of common elements to the two sequences 17,21,25, ...... 4...

    Text Solution

    |

  10. The sum of first 10 terms of the series : (x+(1)/( x))^(2) + ( x^(2)...

    Text Solution

    |

  11. The sum of the serieslebrge (1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+.. to ...

    Text Solution

    |

  12. If x,y,z are in A.P. and tan^(-1) x , tan^(-1) y and tan^(-1) z are a...

    Text Solution

    |

  13. If a, b, c respectively the p^(th), q^(th) and r^(th) elements of a G....

    Text Solution

    |

  14. If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and...

    Text Solution

    |

  15. Let T(r ) be the rth term of an A.P. whose first term is a and common ...

    Text Solution

    |

  16. Let a, b, c be in A.P and |a|le1,|b|le1,|c|le1. If x=1+a+a^(2)+.... t...

    Text Solution

    |

  17. If a(1) , a(2), "……………" a(n) are in H.P., then the expression a(1) a(2...

    Text Solution

    |

  18. Let a(1) , a(2) , a(3) , "……………" be terms of an A.P. If (a(1) + a(2) +...

    Text Solution

    |

  19. The value of 2^(1//4).4^(1//8).8^(1//16)"…………." to oo is :

    Text Solution

    |

  20. In a geometric progression consisting of positive terms, each term equ...

    Text Solution

    |