Home
Class 12
MATHS
Let a, b, c be in A.P and |a|le1,|b|le1,...

Let `a, b, c` be in A.P and `|a|le1,|b|le1,|c|le1`. If `x=1+a+a^(2)+.... to oo` `y=1+b+b^(2)+.... to oo` z=1+c+c^(2)+.... tends to infinity ` then x,y,z are in

A

A.P

B

`G.P`

C

`H.P`

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

a^(x) = b^(y) = c^(z) = d^(t) and a,b,c,d are in G.P. , then x,y,z,t are in :

If a^(x) = b^(y) = c^(z) and a,b,c are in G.P. , then x,y,z are in :

If a, b, c be in A.P, then a x+b y+c=0 represents

If 1/a,1/b,1/c are in A.P and a,b -2c, are in G.P where a,b,c are non-zero then

If a,b,c are in AP, then (a)/(bc),(1)/(c ), (1)/(b) are in

If a le tan ^(-1) x+cot ^(-1) x+sin ^(-1) x le b then

If a, b, c are in A.P., a, x, b are in G.P., and b, y, c are in G.P., then (x, y) lies on :

If x,y,z are in A.P. and tan^(-1)x , tan^(-1)y and tan^(-1) z are also in A.P., then :

If s= 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 then x,y,z are in :

If x =1 + a + a^(2)+"………" to oo and y = 1+ b + b^(2) +"………" to oo where a and b are proper fraction, then 1 + ab + a^(2) b^(2) + "……." to oo equals :

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. The first two terms of a geometric progression add upto 12. The sum of...

    Text Solution

    |

  9. Let two numbers have arithmetic mean 9 and geometric mean 4. Then thes...

    Text Solution

    |

  10. A person is to count 4500 currency notes. Let a(n) denote the number o...

    Text Solution

    |

  11. If f(x) is a function satisfying f(x+y) = f(x) f(y) for all x,yin N su...

    Text Solution

    |

  12. Let a^(n) be the nth term of the G.P. of positive numbers. Let sum(n=1...

    Text Solution

    |

  13. Let n ( gt 1 ) be a positive integer, the largest integer m such that ...

    Text Solution

    |

  14. If the fourth power of the common difference of an A.P with integer en...

    Text Solution

    |

  15. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  16. If the sum of the first 2n terms of the A.P. 2,5,8,"……….." is equal to...

    Text Solution

    |

  17. An infinite G.P. has first term 'x' and sum '5' , then x belongs to :

    Text Solution

    |

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

    Text Solution

    |

  19. If the sum of first n terms of an A.P. is cn^(2) , then the sum of squ...

    Text Solution

    |

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

    Text Solution

    |