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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 `(alpha ^(2) + beta ^(2)+ alpha beta)` is equal to :

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