$$\text { If } G ( x ) \text { is the generating function for } a _ { 0 } , a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots \text {, describe in terms of } G ( x ) \text { the generating function for }$$ $$a _ { 0 } , 3 a _ { 1 } , 9 a _ { 2 } , 27 a _ { 3 } , 81 a _ { 4 } , \ldots$$

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The Answer of $$\text { If } G ( x ) \text { is the generating function for } a _ { 0 } , a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots \text {, describe in terms of } G ( x ) \text { the generating function for }$$ $$a _ { 0 } , 3 a _ { 1 } , 9 a _ { 2 } , 27 a _ { 3 } , 81 a _ { 4 } , \ldots$$

a0,3a1,9a2,27a3,81a4,…a _ { 0 } , 3 a _ { 1 } , 9 a _ { 2 } , 27 a _ { 3 } , 81 a _ { 4 } , \ldotsa0​,3a1​,9a2​,27a3​,81a4​,…

$a _ { 0 } , 3 a _ { 1 } , 9 a _ { 2 } , 27 a _ { 3 } , 81 a _ { 4 } , \ldots$