18.(14分)(2013•浙江)在公差为$d$的等差数列$\{a_n\}$中,已知$a_1=10$,且$a_1$,$2a_2+2$,$5a_3$成等比数列.
(Ⅰ)求$d$,$a_n$;
(Ⅱ)若$d<0$,求$|a_1|+|a_2|+|a_3|+\cdots+|a_n|$.
参考答案
(Ⅰ)$d=-1$或$d=4$;$a_n=-n+11$或$a_n=4n+6$;(Ⅱ)$\begin{cases}-\dfrac{1}{2}n^2+\dfrac{21}{2}n,\ n\leqslant11\\ \dfrac{1}{2}n^2-\dfrac{21}{2}n+110,\ n\geqslant12\end{cases}$