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阿Q吧 > 小学数学问题：简便计算1⼀3+1⼀6+1⼀10+1⼀15+1⼀21+1⼀28+1⼀36+1⼀45=？

小学数学问题：简便计算1⼀3+1⼀6+1⼀10+1⼀15+1⼀21+1⼀28+1⼀36+1⼀45=？

2025-03-15 10:42:15

推荐回答（1个）

回答1：

我们可以用数列办法，分母是一个数列，其通项公式为A=n（n+1）/2.于是有，2/2×3+2/3×4+2/4×5+2/5×6+2/6×7+2/7×8+2/8×9+2/9×10=2×(1/2-1
/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)=2×(1/2-1/10)=4/5.噢了！

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