简算 3+6+9+…+39+42=

问题描述:

简算 3+6+9+…+39+42=

3+6+9+…+39+42=3×(1+2+3+4+…+14)=315

3+ 6+ 9+…+39+42………………(1)
42+39+36+…+ 6 +3………………(2)
这种方法叫倒序相加哦
(1)+(2)
45*14/2=45*7=315

3+6+9+…+39+42
=3×(1+2+3+4+.+14)
=3×(1+14)×14÷2
=3×15×7
=45×7
=315

3+6+9+…+39+42
=(3+42)+(6+39)+(9+36)+.....(21+24)
=45+45+.....45
=45×7
=315