简算 100 -98 + 96 - 94 + 92 -90+··········+4-2

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简算100-98+96-94+92-90+··········+4-2简算100-98+96-94+92-90+··········+4-2简算100-98+96-94+92-90+·········

简算 100 -98 + 96 - 94 + 92 -90+··········+4-2
简算 100 -98 + 96 - 94 + 92 -90+··········+4-2

简算 100 -98 + 96 - 94 + 92 -90+··········+4-2
100 -98 + 96 - 94 + 92 -90+··········+4-2=
2(50-49+48-47+.+2-1)=
2(1+1+1+.+1)=
2*25=100.
注:50=2*25.