Home
Class 12
MATHS
If x = sum (n =0) ^(oo) a^(n) , y = sum ...

If `x = sum _(n =0) ^(oo) a^(n) , y = sum _(n=0) ^(oo) b ^(n), z= sum _(n=0)^(oo) c^(n)` where a,b,c are in A.P. and `|a| lt 1, |b| lt 1, |c| lt 1,` thenx,y,z are in-

A

A.P.

B

H.P.

C

G.P.

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 7|90 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If x=sum_(n=0)^ooa^n , y=sum_(n=0)^oob^n , z=sum_(n=0)^ooc^n , w h e r e ra ,b ,a n dc are in A.P. and |a|<,|b|<1,a n d|c|<1, then prove that x ,ya n dz are in H.P.

If x= sum_(n=0)^(oo) cos ^(2n)theta , y = sum _(n=o) ^(oo) sin ^(2n)theta, z= sum _(n=0)^(oo) cos ^(2n)theta.sin ^(2n)theta and 0 lt theta lt (pi)/(2) then-

If a,b,c in AP and x=sum_(n=0)^inftya^n,y=sum_(n-0)^inftyb^n,z=sum_(n-0)^inftyc^n then x,y,z are in

If x^(1/a)=y^(1/b)=z^(1/c) where a,b,c are in A.P,,than show that x,y,z are in G.P.

If x + y = 1 , prove that sum_(r=0)^(n) r""^(n)C_(r) x^(r ) y^(n-r) = nx .

The sum S_(n)=sum_(k=0)^(n)(-1)^(k)*^(3n)C_(k) , where n=1,2,…. is

If sum_(r=0)^(n) (r)/(""^(n)C_(r))= sum_(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C_(r)) , then find n

Find the sum sum_(j=0)^n( ^(4n+1)C_j+^(4n+1)C_(2n-j)) .

Prove that sum_(k=0)^(n) (-1)^(k).""^(3n)C_(k) = (-1)^(n). ""^(3n-1)C_(n)

If x+y=1, prove that sum_(r=0)^n .^nC_r x^r y^(n-r) = 1 .

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 8
  1. If omega is a complex cube root of unity then the value of [225 + ( 3 ...

    Text Solution

    |

  2. Seventh term of an A.P. ios 40. Then the sum of its first 13 items is-

    Text Solution

    |

  3. If x = sum (n =0) ^(oo) a^(n) , y = sum (n=0) ^(oo) b ^(n), z= sum (n=...

    Text Solution

    |

  4. If n is a natural number, then [7 ^(2n)+2^(3(n-1)), 3 ^(n=-1)] is alwa...

    Text Solution

    |

  5. If n is a positive integer then the coefficient of x ^(-1) in the expa...

    Text Solution

    |

  6. The number of numbers that can be formed using the digits 3,4,5,6,7 (r...

    Text Solution

    |

  7. A point P which represents a complex number z, moves such that |z-z(1)...

    Text Solution

    |

  8. Solution set of the inequation |(2)/(x-4)| gt 1 (x ne 4) is-

    Text Solution

    |

  9. If the 5th term of a G.P. is x, then the product of its first nine ter...

    Text Solution

    |

  10. The sum of first n terms of the series 1^(2)+ 2 . 2^(2) + 3^(2) + 2. 4...

    Text Solution

    |

  11. If ""^(-3) ^(n)C(r+1) then-

    Text Solution

    |

  12. omega is an imaginary cube root of unity. If (1+ omega ^(2)) ^(m)=(1+o...

    Text Solution

    |

  13. Locus of mid-point of the portionof the line x cos alpha + y sin alpha...

    Text Solution

    |

  14. A ray of light is sent along the lie x-2y+5=0, upon reaching the line ...

    Text Solution

    |

  15. The coordinates of O , A and B are (0,0) , (x,y) and (y,x) respectivel...

    Text Solution

    |

  16. If t is a variable parameter, then the equation to the locus defined b...

    Text Solution

    |

  17. A circel cuts intercepts of lenghts 2a and 2b from the x-axis and the ...

    Text Solution

    |

  18. The ordinate of the centre of the circle passing through (0,0) and (1,...

    Text Solution

    |

  19. The sides of a triangle are 3x+4y, 4x +3y and 5x +5y where, x, y gt 0,...

    Text Solution

    |

  20. The triangle formed by joining the points (x,y,z), (y,z,x) and (z,x,y)...

    Text Solution

    |