计算:(1-2)*(2-3)*(3-4)*······*(100-101)(1-2)*(2-3)*(3-4)*……*(100-101)

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计算:(1-2)*(2-3)*(3-4)*······*(100-101)(1-2)*(2-3)*(3-4)*……*(100-101)
计算:(1-2)*(2-3)*(3-4)*······*(100-101)
(1-2)*(2-3)*(3-4)*……*(100-101)

计算:(1-2)*(2-3)*(3-4)*······*(100-101)(1-2)*(2-3)*(3-4)*……*(100-101)
(1-2)*(2-3)*(3-4)*······*(100-101)
=(-1)×(-1)×……×(-1) (共100个)
=1

(1-2)(2-3)(3-4)····(100-101)
=(-1)^(100÷2)×-1
=(-1)^50×-1
=-1