If \( n \) is positive integer and if \( \left(1+4 x+4 x^{2}\right)^{n}=\sum_{r=0}^{2 n} a_{r} x....

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If \( n \) is positive integer and if \( \left(1+4 x+4 x^{2}\right)^{n}=\sum_{r=0}^{2 n} a_{r} x^{r} \),
\( \mathrm{P} \)
where \( a_{i} \in R \) and \( i=0,1,2, \ldots \ldots, 2 n \)
On the basis of the above information, answer the following questions.

The value of \( 2 \sum_{r=0}^{n} a_{2 r-1} \) is
(1) \( 9^{n}-1 \)
(2) \( 9^{n}+1 \)
(3) \( 9^{n}-2 \)
(4) \( 9^{n}+2 \)



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