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If alpha,betane0 and f(n)=alpha^(n)+beta...

If `alpha,betane0 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

A

1

B

`-1`

C

`alphabeta`

D

`1//alphabeta`

Text Solution

Verified by Experts

The correct Answer is:
A
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