> 数学 >
观察下列数据:
x2
3
x3
15
x4
35
x5
63
x6
99
,…它们是按一定规律排列的,依照此规律,第n个数据是______.
人气:268 ℃ 时间:2019-10-23 07:11:52
解答

x2
3
=
x1+1
12−1

x3
15
=
x2+1
22−1

x4
35
=
x3+1
32−1

x5
63
=
x4+1
42−1

x6
99
=
x5+1
52−1

…;
第n个数据是
xn+1
4n2−1
=
xn+1
(2n+1)(2n−1)
=
xn+1
(2n)2−1
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