Home
Class 12
MATHS
Consider sequences of positive real numb...

Consider sequences of positive real numbers of the form x, 2000, y, ..., in which every term after the rst is 1 less than the product of its two immediate neighbours. For how many different values of x does the term 2001 appear somewhere in the sequence?

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • IPU QUESTION PAPER 2016

    IPUCET PREVIOUS YEAR PAPERS|Exercise Mathematics|49 Videos
  • IPU QUESTIONS PAPER 2017

    IPUCET PREVIOUS YEAR PAPERS|Exercise Mathematics|50 Videos

Similar Questions

Explore conceptually related problems

For how many different values of a does the following system have at least two distinct solution ? ax+y=0 x+(a+10)y=0

if x is a positive real number less than unity, then first negative term n the expansion of (1+x)^((27)/(5)) is:

Let x and y be two positive real numbers such that x + y = 1. Then the minimum value of 1/x+1/y is-

Let x and y be two positive real numbers such that x+y= 1 . Then the minimum value of (1)/(x) + (1)/(y) is

A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected from the numbers 1,4,9. What is the probability that the product xy of the two numbers will be less than 9?

P, Q, R, S, T, U, V, W and X are sitting in a straight line, facing North. Three of them are not males. Two females sit adjacent to each other. Q is fourth the left of V, who is second to the right of R, who is not the immediate neighbour of P. U is fourth to the right of R and is second to the left of X. S is not an immediate neighbour of either X or Q. S is not male. One of the persons sitting on the extreme ends is a female. T is not an immediate neighbour of either V or U. No female is an immediate neighbour of U. W does not sit second to the left of P. The immediate neighbour of S are male If Q and R, V and U interchange their position then how many persons are sitting between R and V ?

The sequence {x_(1),x_(2),…x_(50)} has the property that for each k , x_(k) is k less than the sum of other 49 numbers. The value of 96x_(20) is

Twelve persons sitting in two rows. D,A,F,K,L and M sitting in row -1 and facing north . S,T,R,X,Y and Z sitting in row -2 and facing south direction. A sits third from one of the extreme ends. S sit between S and T. K sits somewhere right of M. More than three persons sit between X and T. F faces one of the immediate neighbours of T. Z sits second to the right of Y. The one who faces L sits third to the left of R . D faces S . Who among the following faces the immediate neighbour M ?

IPUCET PREVIOUS YEAR PAPERS-IPU QUESTION PAPER 2018-MATHEMATICS
  1. Choose the most appropriate option. Solve for x (a ne 0) root (3) ...

    Text Solution

    |

  2. int (0) ^(pi//2) e ^(x) cos xdx is equal to

    Text Solution

    |

  3. Find the area of the gure bounded by the parabola y ^(2) = 4x and x ^(...

    Text Solution

    |

  4. Choose the most appropriate options. The eccentricity of the hyperbo...

    Text Solution

    |

  5. Consider sequences of positive real numbers of the form x, 2000, y, .....

    Text Solution

    |

  6. Choose the most appropriate options. The exradii of a triangle r (1)...

    Text Solution

    |

  7. Let f (x) = x ^(2) + 6x + 1 and let R denotes the set of points (x,y...

    Text Solution

    |

  8. Let n be a 5-digit number and let q and r be the quotient and remainde...

    Text Solution

    |

  9. Choose the most appropriate options If tan "" (2pi)/(18),x and tan "...

    Text Solution

    |

  10. A line segment with the end points A (3,-2) and B (6, 4) is divided in...

    Text Solution

    |

  11. Three mutually, tangent spheres of radius 1 rest on a horizontal plane...

    Text Solution

    |

  12. Choose the most appropriate options. If the line x-1=0 is the direct...

    Text Solution

    |

  13. lim ( x to 0) (1+ tan ^(2) sqrtx) ^(3//2) is equal to

    Text Solution

    |

  14. lim ( x to a) ( log a ^( x) -1)/( x -a) is equal to

    Text Solution

    |

  15. Choose the most appropriate options. For real x, let f (x) = x ^(3) ...

    Text Solution

    |

  16. lim ( x to 0) ( 1 - cos 4x )/( 2 sin ^(2) x +c tan 7x) is equal to

    Text Solution

    |

  17. Choose the most appropriate options. Negation of the statement ( p ^...

    Text Solution

    |

  18. Given the vertices of a triangle are A (1,-1, -3), B (2, 1, -2) and C ...

    Text Solution

    |

  19. It is known that AB=2a-6b and AC = 3a + b, · where a and b are mutuall...

    Text Solution

    |

  20. Choose the most appropriate options. The value of int ( sin ^(2) x c...

    Text Solution

    |