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If alpha, beta ne 0 and f(n)=a^(n)+beta^...

If `alpha, beta ne 0` and `f(n)=a^(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:

A

1

B

-1

C

`alpha beta`

D

`1/( alpha beta)`

Text Solution

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The correct Answer is:
A
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