(1+1/51)×(1-1/51)×(1+1/52)(1-1/52)×…×(1+1/152)×(1−1/152)=_.
问题描述:
(1+
)×(1-1 51
)×(1+1 51
)(1-1 52
)×…×(1+1 52
)×(1−1 152
)=______. 1 152
答
(1+
)×(1-1 51
)×(1+1 51
)(1-1 52
)×…×(1+1 52
)×(1−1 152
)1 152
=
×52 51
×50 51
×53 52
×51 52
×54 53
…×52 53
×153 152
151 152
=
×50 51
×52 51
×51 52
×53 52
×52 53
…×54 53
×151 152
153 152
=
×50 51
153 152
=
7650 7752
=
.75 76