(1-122)×(1-132)×(1-142)×…×(1-1102).-数学

题目简介

(1-122)×(1-132)×(1-142)×…×(1-1102).-数学

题目详情

(1-
1
22
)×(1-
1
32
)×(1-
1
42
)×…×(1-
1
102
)
题型:解答题难度:中档来源:不详

答案

(1-class="stub"1
22
)×(1-class="stub"1
32
)×(1-class="stub"1
42
)×…×(1-class="stub"1
102
),
=(1-class="stub"1
2
)×(1+class="stub"1
2
)×(1-class="stub"1
3
)×(1+class="stub"1
3
…×(1-class="stub"1
10
)×(1+class="stub"1
10
)

=class="stub"1
2
×class="stub"3
2
×class="stub"2
3
×class="stub"4
3
×class="stub"3
4
×…×class="stub"10
9
×class="stub"9
10
×class="stub"11
10

=class="stub"1
2
×class="stub"11
10

=class="stub"11
20

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