21×23×25+23×25×27+25×27×29+……+95×97×99=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/25 18:26:00
21×23×25+23×25×27+25×27×29+……+95×97×99=21×23×25+23×25×27+25×27×29+……+95×97×99=21×23×25+23×25×27+25×2

21×23×25+23×25×27+25×27×29+……+95×97×99=
21×23×25+23×25×27+25×27×29+……+95×97×99=

21×23×25+23×25×27+25×27×29+……+95×97×99=
(X-2)X(X+2)=X的3次方-4X
所以原式=
23的3次方加到99的3次方再减去4倍的23加到99

(2n-3)(2n-1)(2n+1)=8n^3-12n^2-2n+3
n从12到49
自己算吧