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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
参考答案:D
解析:
设公差为\(d\),
则\(\left\{ {\begin{array}{*{20}{l}} {{a_1} + 3d + {a_1} + 7d = 20} \\\ {{a_1} + 6d = 12} \end{array}} \right.\),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.
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