2021年八年级数学等差数列求和公式.pdf

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2021年八年级数学等差数列求和公式.pdf

八年级数学等差数列求和公式|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 1 页，共 4 页第 2 页八年级数学等差数列求和公式各科成绩的提高是同学们提高总体学习成绩的重要途径，大家一定要在平时的练习中不断积累，小编为大家整理了八年级数学等差数列求和公式，希望同学们牢牢掌握，不断取得进步!公式 Sn=(a1+an)n/2(首项+末项)X 项数 2 Sn=na1+n(n-1)d/2;(d为公差)Sn=An2+Bn;A=d/2,B=a1-(d/2)Sn=2a1+(n-1)d n/2 和为 Sn 首项 a1 末项 an 公差 d 项数 n 等差数列公式an=a1+(n-1)d 前 n 项和公式为：Sn=(a1+an)n/2=na1+n(n-1)d/2 假设 m+n=p+q那么：存在am+an=ap+aq 假设 m+n=2p那么：am+an=2ap 以上 n 均为正整数文字翻译第 n 项的值 an=首项+(项数-1)公差|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 2 页，共 4 页文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4第 3 页前 n 项的和 Sn=首项+末项项数(项数-1)公差/2 公差 d=(an-a1)(n-1)项数=(末项-首项)公差+1 数列为奇数项时，前n 项的和=中间项项数数列为偶数项，求首尾项相加，用它的和除以2 等差中项公式2an+1=an+an+2 其中 an 是等差数列通项首项=2 和项数-末项末项=2 和项数-首项末项=首项+(项数-1)公差:a1+(n-1)d 项数=(末项-首项)/公差+1:n=(an-a1)/d+1 公差=d=(an-a1)/(n-1)如：1+3+5+7+99 公差就是 3-1 将 a1 推广到 am，那么为:d=(an-am)/(n-m)性质：假设 m、n、p、qN 假设 m+n=p+q，那么 am+an=ap+aq 假设 m+n=2q，那么 am+an=2aq(等差中项)注意：上述公式中an 表示等差数列的第n 项。本文就是查字典数学网为大家整理的八年级数学等差数列|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 3 页，共 4 页文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 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页求和公式，希望能为大家的学习带来帮助，不断进步，取得优异的成绩。|精.|品.|可.|编.|辑.|学.|习.|资.|料.*|*|*|*|欢.|迎.|下.|载.第 4 页，共 4 页文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 ZW4H10A8H4O4文档编码:CF6D3Q1T2N8 HV6B4R2I6N7 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