1+1/1*3+1/3*5+1/5*7+1/7*9+……+1/99*101=?

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1+1/1*3+1/3*5+1/5*7+1/7*9+……+1/99*101=?
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1+1/1*3+1/3*5+1/5*7+1/7*9+……+1/99*101=?
1+1/1*3+1/3*5+1/5*7+1/7*9+……+1/99*101=?

1+1/1*3+1/3*5+1/5*7+1/7*9+……+1/99*101=?
1+1/1*3+1/3*5+1/5*7+1/7*9+……+1/99*101
=1+1/2*(1-1/3+1/3-1/5+1/5-1/7+.+1/99-1/101)
=1+1/2 (1-1/101)
=1+1/2*100/101
=1+50/101
=151/101

1+1/1*3+1/3*5+1/5*7+1/7*9+……+1/99*101
=1+1/2×(1-1/3+1/3-1/5+……+1/99-1/101)
=1+1/2×100/101
=1+50/101
=151/101