3\4+3\28+3\70+3\130+3\208=?
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![3\4+3\28+3\70+3\130+3\208=?](/uploads/image/z/632815-7-5.jpg?t=3%5C4%2B3%5C28%2B3%5C70%2B3%5C130%2B3%5C208%3D%3F)
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3\4+3\28+3\70+3\130+3\208=?
3\4+3\28+3\70+3\130+3\208=?
3\4+3\28+3\70+3\130+3\208=?
3\4+3\28+3\70+3\130+3\208
=1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16
=1-1/16
=15/16
3/4+3/28+3/70+3/130+3/208
=3/(1*4)+3/(4*7)+3/(7*10)+3/(10*13)+3/(13*16)
=(1-1/4)+(1/4-1/7)+...+(1/13-1/16)
=1-1/16
=15/16