1+3+5+7.+(2n-1)+(2n+1)=
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1+3+5+7.+(2n-1)+(2n+1)=1+3+5+7.+(2n-1)+(2n+1)=1+3+5+7.+(2n-1)+(2n+1)=设S=1+3+5+7.+(2n-1)+(2n+1)倒过来写S=
1+3+5+7.+(2n-1)+(2n+1)=
1+3+5+7.+(2n-1)+(2n+1)=
1+3+5+7.+(2n-1)+(2n+1)=
设 S=1+3+5+7.+(2n-1)+(2n+1)
倒过来写 S=(2n+1)+(2n-1)+.+7+5+3+1
两个S相加2S=(2n+2)+(2n+2)+(2n+2)+.(2n+2)+(2n+2)+(2n+2) 有n+1个
所以2S=(n+1)(2n+2)=2(n+1)^2
S=(n+1)^2
1+3+5+7.......+(2n-1)+(2n+1)=(1+2n+1)(n+1)\2=(n+1)^2
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