A sequence $a _ { 0 } , a _ { 1 } , a _ { 2 } , \ldots$ satisfies the recurrence relation $a _ { k } = 4 a _ { k - 1 } - 3 a _ { k - 2 }$ with initial conditions $a _ { 0 } = 1$ and $a _ { 1 } = 2$. Find an explicit formula for the sequence.

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The Answer of A sequence $a _ { 0 } , a _ { 1 } , a _ { 2 } , \ldots$ satisfies the recurrence relation $a _ { k } = 4 a _ { k - 1 } - 3 a _ { k - 2 }$ with initial conditions $a _ { 0 } = 1$ and $a _ { 1 } = 2$. Find an explicit formula for the sequence.

A Sequence a0,a1,a2,…a _ { 0 } , a _ { 1 } , a _ { 2 } , \ldotsa0​,a1​,a2​,…

A Sequence $a _ { 0 } , a _ { 1 } , a _ { 2 } , \ldots$