Question

(1+1/2)×(1-1/2)()×(1+1/3)×(1-1/3)×(1+1/4)×(1-1/4)×......(1+1/99)×(1-1/99)求答案

Answer 1

(1+1/2)×(1-1/2)()×(1+1/3)×(1-1/3)×(1+1/4)×(1-1/4)×......(1+1/99)×(1-1/99)

=3/2×1/2×4/3×2/3×5/4×3/4×。。。×99/98×97/98×100/99×98/99
=1/2×100/99
=50/99

Answer 2

解析(1+1/2)×(1-1/2)()×(1+1/3)×(1-1/3)×(1+1/4)×(1-1/4)×......(1+1/99)×(1-1/99)
=3/2*1/2*4/3*2/3*5/4*3/4*……*99/98*97/98*100/99*98/99
=1/2*100/99=50/99

Answer 3

把式中各项顺序改变下就清楚了
=3/2*1/2*4/3*2/3.......100/99*98/99
=（3/2*4/3*5/4.....*.100/99）*（1/2*2/3*3/4*......*98/99）
=100/2*1/99
=50/99

Answer 4

3/2x1/2x4/3x2/3x5/4x3/4……100/99x98/99
=1/2x3/2x2/3x4/3x3/4x5/4……98/99x100/99
=1/2x100/99
=50/99

Answer 5

50/99 ？