18.设 $\left\{a_{\mathrm{n}}\right\}$ 是等差数列,$\left\{b_{n}\right\}$ 是等比数列,公比大于 0 ,已知 $a_{1}=b_{1}=3, b_{2}=a_{3}, b_{3}=4 a_{2}+3$ .
(I)求 $\left\{a_{n}\right\}$ 和 $\left\{b_{n}\right\}$ 的通项公式;
(II)设数列 $\left\{c_{n}\right\}$ 满足 $c_{n}= \begin{cases}1, & n \text { 为奇数,} \\ b_{\frac{n}{2}} & n \text { 为偶数,求 } a_{1} c_{1}+a_{2} c_{2}+\cdots+a_{2 n} c_{2 n} \quad\left(n \in N^{*}\right) \text { .}\end{cases}$
Answer key
(I)$a_{n}=3 n, b_{n}=3^{n}$ ; (II)$\frac{(2 n-1) 3^{n+2}+6 n^{2}+9}{2}\left(n \in N^{*}\right)$