计算:1/(1x4)+1/(4x7)+1/(7x10)…+1/(298x301)

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计算:1/(1x4)+1/(4x7)+1/(7x10)…+1/(298x301)

计算:1/(1x4)+1/(4x7)+1/(7x10)…+1/(298x301)
计算:1/(1x4)+1/(4x7)+1/(7x10)…+1/(298x301)

计算:1/(1x4)+1/(4x7)+1/(7x10)…+1/(298x301)
1/1X4 = (1/1 - 1/4)/3
1/4X7 = (1/4 - 1/7)/3
...
1/298X301 = (1/298 - 1/301)/3
1/1X4+1/4X7+1/7X10+.+1/298X301
=(1/1-1/4 + 1/4 - 1/7 + ...+ 1/298 - 1/301)/3
=(1-1/301)/3
=100/301