求等比数列-1,2,-4,8的第10项与前7项的和

2025-06-27 23:44:45
推荐回答(2个)
回答1:

第十项是512。前七项和为-43

回答2:

(1)
an = - (-2)^(n-1)
a10= -(-2)^9 = 512
S7 = - [ (1- (-2)^7)/(1+2) ]
= - 129/3
= -43
(2)
(i)
an=a1+(n-1)d
点(a3,a4)在直线x-y+2=0

a3-a4+2=0
-d+2=0
d=2
an=-15+2(n-1) = 2n-17
(ii)
bn = -an
= -(2n-17)
=17-2n >0
n< 17/2
{bn}中所有正数项的和

=b1+b2+...+b8
=(15+1)4
=64