2+4+6+8+10一直加到198等于多少?怎么算的,要过程


S =2+4+6+...+198 (1)
S =198+196+....+2 (2)

(1)+(2)
2S = (2+198)+(4+196)+...+(198+2)
=200+200+...+200
=200x99
S =100x99 =9900
2+4+6+...+198 = S =9900
2+4+6+8+10+。。。+198
=2(告卖1+2+3+4+。。。+99)
=2×4950
=9900
2+4+6+8+10+。。戚友厅高隐。+198
=99×(2+198)÷2
=9900