Home
Class 12
MATHS
The first four terms of a sequence are g...

The first four terms of a sequence are given by `T_(1)=0, T_(2)=1, T_(3) =1, T_(4) =2. The general terms is given by `T_(n)=Aalpha ^(n -1) +B beta ^(n-1)` where A,B` alpha, beta` are independent of a and A is positive.
The value of `(alpha ^(2) + beta ^(2)+ alpha beta)` is equal to :

A

1

B

2

C

5

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos
  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|18 Videos
  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos
  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|12 Videos

Similar Questions

Explore conceptually related problems

The first four terms of a sequence are given by T_(1)=0, T_(2)=1, T_(3) =1, T_(4) =2. The general terms is given by T_(n)=Aalpha ^(n -1) +B beta ^(n-1) where A,B alpha, beta are independent of a and A is positive. The value of 5 (A^(2) + B ^(2) is equal to :

Find the first five terms of the sequence for which t_(1)=1,t_(2)=2 and t_(n+2)=t_(n)+t+(n+1)

If alpha , beta are the roots of x^(2)-a(x-1)+b=0 ,then the value of (1)/(alpha^(2)-a alpha)+(1)/(beta^(2)-a beta)+(2)/(a+b) is equal to

If alpha and beta are the zeroes of the quadratic polynomial f(t)=t^(2)-4t+3, then the value of alpha^(4)beta^(3)+alpha^(3)beta^(4) is

If alpha,beta are the roots of the equation x^(2)-mx+n=0 the value of (1+a+a^(2))(1+beta+beta^(2)) is

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

The fifth term of the sequence for which t_1= 1, t_2 = 2 and t_(n + 2) = t_n + t_(n + 1) is

If alpha and beta are the zeros of the quadratic polynomial f(t)=t^(2)-4t+3, find the value of alpha^(4)beta^(3)+alpha^(3)beta^(4)

Let alpha and beta be the roots of x^(2)+x+1=0 If n be positive integer,then alpha^(n)+beta^(n) is

VIKAS GUPTA (BLACK BOOK)-SEQUENCE AND SERIES -EXERCISE (COMPREHENSION TYPE PROBLEMS)
  1. The first four terms of a sequence are given by T(1)=0, T(2)=1, T(3) =...

    Text Solution

    |

  2. The first four terms of a sequence are given by T(1)=0, T(2)=1, T(3) =...

    Text Solution

    |

  3. There are two sets A and B each of which consists of three numbers in ...

    Text Solution

    |

  4. There are two sets A and B each of which consists of three numbers in ...

    Text Solution

    |

  5. Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value...

    Text Solution

    |

  6. Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value ...

    Text Solution

    |

  7. Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value...

    Text Solution

    |

  8. Two consecutive number from n natural numbers 1,2,3,……, n are removed....

    Text Solution

    |

  9. Two consecutive number from n natural numbers 1,2,3,……, n are removed....

    Text Solution

    |

  10. Two consecutive number from n natural numbers 1,2,3,……, n are removed....

    Text Solution

    |

  11. The sequence {a(n)} is defined by formula a (0) =4 and a (m +1)=a (n)^...

    Text Solution

    |

  12. The sequence {a(n)} is defined by formula a (0) =4 and a (m +1)=a (n)^...

    Text Solution

    |

  13. The sequence {a(n)} is defined by formula a (0) =4 and a (m +1)=a (n)^...

    Text Solution

    |

  14. Let f (n) = sum (r =2)^(n) (r )/(""^® C(2) ""^(r+1) C(2)) , a = lim (x...

    Text Solution

    |

  15. Let f (n) = sum (r =2)^(n) (r )/(""^r C(2) ""^(r+1) C(2)) , a = lim (x...

    Text Solution

    |

  16. Given the sequence of numbers x1, x2, x3,...x1005. which satisfy x1/(x...

    Text Solution

    |

  17. Given that sequence of number a (1), a (2) , a(3),……, a (1005) which s...

    Text Solution

    |