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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 `5 (A^(2) + B ^(2)` is equal to :

A

2

B

4

C

6

D

8

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The correct Answer is:
A
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VK JAISWAL-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) =...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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