1x3/1+3x5/1+5x7/1+.+97x99/1+99x101/1

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1x3/1+3x5/1+5x7/1+.+97x99/1+99x101/1

1x3/1+3x5/1+5x7/1+.+97x99/1+99x101/1
1x3/1+3x5/1+5x7/1+.+97x99/1+99x101/1

1x3/1+3x5/1+5x7/1+.+97x99/1+99x101/1
1x3/1+3x5/1+5x7/1+.+97x99/1+99x101/1
=(1-1/3)*1/2+(1/3-1/5)*1/2+……+(1/99-1/101)*1/2
=(1-1/3+1/3-1/5+……+1/99-1/101)*1/2
=(1-1/101)*1/2
=50/101

(1-1/101)/2