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If alpha,beta!=0 , and f(n)""=alpha^n+be...

If `alpha,beta!=0` , and `f(n)""=alpha^n+beta^n` and `|3 1+f(1)1+f(2)1+f(1)1+f(2)1+f(3)1+f(2)1+f(3)1+f(4)|=K(1-alpha)^2(1-beta)^2(alpha-beta)^2` , then K is equal to (1) `alphabeta` (2) `1/(alphabeta)` (3) 1 (4) `-1`

A

1

B

-1

C

`alphabeta`

D

`alphabetagamma`

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A
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Knowledge Check

  • If alpha, beta ne 0, f(n) = alpha^n+ beta^n and abs([3,1+f(1) ,1+f(2)],[1+f(1),1+f(2),1+f(3)],[1+f(2),1+f(3),1+f(4)]) =k(1-alpha)^2(1-beta)^2(alpha-beta)^2 then k is equal to

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