1/(1+3) +1/(3+5)+1/(5+7)+.1/(29+31)等于多少
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![1/(1+3) +1/(3+5)+1/(5+7)+.1/(29+31)等于多少](/uploads/image/z/1005071-23-1.jpg?t=1%2F%281%2B3%29+%2B1%2F%283%2B5%29%2B1%2F%285%2B7%29%2B.1%2F%2829%2B31%29%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91)
1/(1+3) +1/(3+5)+1/(5+7)+.1/(29+31)等于多少
1/(1+3) +1/(3+5)+1/(5+7)+.1/(29+31)等于多少
1/(1+3) +1/(3+5)+1/(5+7)+.1/(29+31)等于多少
1/(1+3) +1/(3+5)+1/(5+7)+.1/(29+31)
=1/4(1+1/2+1/3+.+1/15)
下面通分自己算吧
题目是不是这个:
1/(1×3) +1/(3×5)+1/(5×7)+.1/(29×31)
=1/2*(1-1/3+1/3-1/5+1/5-1/7+.+1/29-1/31)
=1/2*(1-1/31)
=1/2*30/31
=15/31
1/(1+3) +1/(3+5)+1/(5+7)+..........1/(29+31)
=1/4+1/8+1/12+1/16+....+1/60
=1/4(1+1/2+1/3+1/4+....+1/15)
这是一个发散级数,没有计算公式
因此只能通过通分计算。
通分计算就是
0.83