1+3+5+7+9+11+13+15+17+19+······+35999等于多少
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 11:17:08
![1+3+5+7+9+11+13+15+17+19+······+35999等于多少](/uploads/image/z/30271-31-1.jpg?t=1%2B3%2B5%2B7%2B9%2B11%2B13%2B15%2B17%2B19%2B%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%2B35999%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91)
1+3+5+7+9+11+13+15+17+19+······+35999等于多少
1+3+5+7+9+11+13+15+17+19+······+35999等于多少
1+3+5+7+9+11+13+15+17+19+······+35999等于多少
1+3+5+7+9+11+13+15+17+19+······+35999
=(1+35999)/2×(1+35999)/2
=18000×18000
=324000000
(1+35999)×(35999-1)/4
=36000×35998/4
=323982000
1,3,5,7……35999总共有(35999+1)/2=18000(个)数
所有数的和为18000*(35999+1)/2=324000000
等差数列计算135009000。