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等比数列的一个充要条件及其应用

A Necessary and Sufficient Condition on Geometrical Series and It's Applications
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摘要 A pithy formula Sn=kqn-k is introduced through the changing summation formula of geometrical series . Therefore explore further,a beautiful necessary and sufficient proposition on geometrical series have got.This proposition is fast to solving the problems on summation of the geometrical series .In addition ,it is explored that the summation formula Σk i =1 x1qni+m is the summation formula of geometrical series. A pithy formula Sn = kq^n - k is introduced through the changing summation formula of geometrical series. Therefore explore further, a beautiful necessary and sufficient proposition on geometrical series have got. This proposition is fast to solving the problems on summation of the geometrical series. In addition, it is explored that the summation formula ^k∑i=1 x1 q^ni + m is the summation formula of geometrical series.
作者 冉宇 冉光华
出处 《铜仁师范高等专科学校学报》 2005年第1期68-70,88,共4页 Journal of Tongren Teachers College
关键词 等比数列 充要条件 应用 geometrical series necessary and sufficient condition application
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