数列题求通项。

来源:百度知道 编辑:UC知道 时间:2024/05/27 19:40:48
Sn=1/4(an-1)
(1)求a1
(2)求an通项

(1) a1=1/4 (a1 -1), a1=-1/3

(2) an = Sn-S(n-1) = (an -1) - [a(n-1)-1]/4 = [an-a(n-1)]/4

3an = - a(n-1), an/a(n-1) = -1/3, 等比数列

an = a1*(-1/3)^(n-1) = -1/3 *(-1/3)^(n-1) = (-1/3)^n

a1=-1/3,
通项是以-1/3为首项,-1/3为等比的等比数列
an=(-1/3)^n