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(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×…×(1+1/49)×(1-1/49)(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×…×(1+1/49)×(1-1/49)(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×…×(1+1/49)×(1-1/49)
题目详情
(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×…×(1+1/49)×(1-1/49)
(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×…×(1+1/49)×(1-1/49)
(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×…×(1+1/49)×(1-1/49)
(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×…×(1+1/49)×(1-1/49)
(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×…×(1+1/49)×(1-1/49)
▼优质解答
答案和解析
=(1-1/2)×(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)……(1-1/49)(1+1/49)
=1/2 × 3/2×2/3 × 4/3×3/4 × ……×49/48×48/49 ×50/49
=1/2×50/49
=25/49
=1/2 × 3/2×2/3 × 4/3×3/4 × ……×49/48×48/49 ×50/49
=1/2×50/49
=25/49
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