(2014?安徽)设a≠0,n是大于1的自然数,(1+xa)n的展开式为a0+a1x+a2x2+…+anxn.若点Ai(i,ai)(i=

2024-10-31 13:28:38
推荐回答(1个)
回答1:

(1+

x
a
n的展开式的通项为Tk+1
C
(
x
a
)k
1
ak
C
xk

由图知,a0=1,a1=3,a2=4,
1
a
C
=3
1
a2
C
=4

n
a
=3
n(n?1)
2a2
=4

a2-3a=0,
解得a=3,
故答案为:3.