1/4+1/28+1/70+.+1/9700=?
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![1/4+1/28+1/70+.+1/9700=?](/uploads/image/z/3944439-63-9.jpg?t=1%2F4%2B1%2F28%2B1%2F70%2B.%2B1%2F9700%3D%3F)
1/4+1/28+1/70+.+1/9700=?
1/4+1/28+1/70+.+1/9700=?
1/4+1/28+1/70+.+1/9700=?
1/4+1/28+1/70+.+1/9700
=1/3×(1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)
=1/3×(1-1/100)
=1/3×99/100
=33/100
=1/1×4+1/4×7+……+1/97×100
=1-1/4+1/4-1/7+……+1/97-1/100
=1-1/100
=99/100