15+115+1115······+1111111115的简便计算(递等式计算)

问题描述:

15+115+1115······+1111111115的简便计算(递等式计算)

15+115+1115······+1111111115
= 10+5+110+5+1110+ 5······+1111111110+5
= 10+110 +1110 +······+1111111110 + 5×9
= 1234567890 + 5×9
= 1234567935