急求一道简便计算题!!!!!!!!要过程和答案!!!!!!!,谢谢了!!!!!!
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1/1*5+1/5*9+1/9*13+1/13*17+1/17*21
=1/4*(1-1/5)+1/4*(1/5-1/9)+1/4*(1/9-1/13)+1/4*(1/13-1/17)+1/4*(1/17-1/21)
=1/4*(1-1/5+1/5-1/9+1/9-1/13+1/13-1/17+1/17-1/21)
=1/4*(1-1/21)
=1/4*20/21
=5/21
=1/4*(1-1/5)+1/4*(1/5-1/9)+1/4*(1/9-1/13)+1/4*(1/13-1/17)+1/4*(1/17-1/21)
=1/4*(1-1/5+1/5-1/9+1/9-1/13+1/13-1/17+1/17-1/21)
=1/4*(1-1/21)
=1/4*20/21
=5/21
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