“微信扫一扫”进入题库练习及模拟考试

高中数学选择性必修 第二册(381题)


已知在等差数列\(\left\{ {{a_n}} \right\}\)中,\({a_4} + {a_8} = 20\),\({a_7} = 12\),则\({a_9}\)=(       


A.8

B.10

C.14

D.16


知识点:第四章 数列


参考答案:D


解析:

设公差为\(d\)

\(\left\{ {\begin{array}{*{20}{l}}
{{a_1} + 3d + {a_1} + 7d = 20} \\\
{{a_1} + 6d = 12}
\end{array}} \right.\)
,解得\(\left\{ {\begin{array}{*{20}{l}}
{{a_1} = 0} \\\
{d = 2}
\end{array}} \right.\)

所以\({a_9} = {a_1} + 8d = 16\).

故选:D.

进入考试题库