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题型:单选题 题类:常考题 难易度:普通
河南省长垣市第十中学2020-2021学年高二上学期理数十月调研考试试卷
(sin )﹣2+(sin )﹣2= ×1×2;
(sin )﹣2+(sin )﹣2+(sin )﹣2+sin( )﹣2= ×2×3;
(sin )﹣2+(sin )﹣2+(sin )﹣2+…+sin( )﹣2= ×3×4;
(sin )﹣2+(sin )﹣2+(sin )﹣2+…+sin( )﹣2= ×4×5;
…
照此规律,
(sin )﹣2+(sin )﹣2+(sin )﹣2+…+(sin )﹣2={#blank#}1{#/blank#}.
(Ⅰ)求a2 , a3 , a4的值,猜想出数列的通项公式an;
(Ⅱ)用数学归纳法证明你的猜想.
;
,
由以上等式推出一个一般结论:
对于 , {#blank#}1{#/blank#}
根据以上等式,可猜想出一般性的结论是{#blank#}1{#/blank#}.
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