按一定次序排列的一列数就叫按一定次序排列的一列数就叫数列
例如,(1)1(1)1,,22,,33,,44,,55,,66,,……(2)1(2)1,,22,,44,,88,,1616,,3232;;(3)1(3)1,,00,,00,,11,,00,,00,,11,…,…(4)1(4)1,,11,,22,,33,,55,,88,,1313
(1)(1)11,,22,,33,,44,,55,,66,,……数列数列(1)(1)是按照自然数从是按照自然数从小到大的次序排列的,也小到大的次序排列的,也叫做自然数数列,其规律叫做自然数数列,其规律是:后项是:后项==前项前项+1+1(2)1(2)1,,22,,44,,88,,1616,,3232;;数列数列(2)(2)的规律是:后项的规律是:后项==前项前项×2×2(3)1(3)1,,00,,00,,11,,00,,00,,11,…,…数列数列(3)(3)的规律是:“的规律是:“11,,00,,0”0”周而复始地出现
周而复始地出现
(4)1(4)1,,11,,22,,33,,55,,88,,1313
数列数列(4)(4)的规律是:从第的规律是:从第三项起,每项等于它前面三项起,每项等于它前面两项的和,两项的和,按其规律在按其规律在()()内填上合适的内填上合适的数:数:(1)4(1)4,,77,,1010,,1313,,()…()…(2)84(2)84,,7272,,6060,,()(),,()();;(3)2(3)2,,66,,1818,,()(),,()…()…(4)35(4)35,,3030,,2525,,()(),,()();;(5)1(5)1,,44,,99,,1616,,()…()…(6)2(6)2,,66,,1212,,2020,,()(),,()…()…(1)4(1)4,,77,,1010,,1313,,