2/25,30/16,25/39,50/36,( 448,( )60,22,8,3 1/(3*3-1)+1/(5*5-1)+1/(7*7-1)+1/(9*9-1)+1/(11*11-1)的值等于多少?
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![2/25,30/16,25/39,50/36,( 448,( )60,22,8,3 1/(3*3-1)+1/(5*5-1)+1/(7*7-1)+1/(9*9-1)+1/(11*11-1)的值等于多少?](/uploads/image/z/15051146-50-6.jpg?t=2%2F25%2C30%2F16%2C25%2F39%2C50%2F36%2C%28+448%2C%EF%BC%88+%EF%BC%8960%2C22%2C8%2C3+1%2F%EF%BC%883%2A3-1%EF%BC%89%2B1%2F%EF%BC%885%2A5-1%EF%BC%89%2B1%2F%EF%BC%887%2A7-1%EF%BC%89%2B1%2F%EF%BC%889%2A9-1%EF%BC%89%2B1%2F%EF%BC%8811%2A11-1%EF%BC%89%E7%9A%84%E5%80%BC%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3F)
2/25,30/16,25/39,50/36,( 448,( )60,22,8,3 1/(3*3-1)+1/(5*5-1)+1/(7*7-1)+1/(9*9-1)+1/(11*11-1)的值等于多少?
2/25,30/16,25/39,50/36,(
448,( )60,22,8,3
1/(3*3-1)+1/(5*5-1)+1/(7*7-1)+1/(9*9-1)+1/(11*11-1)的值等于多少?
2/25,30/16,25/39,50/36,( 448,( )60,22,8,3 1/(3*3-1)+1/(5*5-1)+1/(7*7-1)+1/(9*9-1)+1/(11*11-1)的值等于多少?
164
(3+8)*2=22
(8+22)*2=60
(22*60)*2=164
(60+164)*2=448
1/(3*3-1)+1/(5*5-1)+1/(7*7-1)+1/(9*9-1)+1/(11*11-1)
=1/(3-1)(3+1)+1/(5-1)(5+1)+1/(7-1)(7+1)+1/(9-1)(9+1)+1/(11-1)(11+1)
=1/2*4+1/4*6+1/6*8+1/8*10+1/10*12
=0.25*(1/1*2+1/2*3+1/3*4+1/4*5+1/5*6)
=0.25*(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6)
=0.25*(1-1/6)
=5/24