首页
已知fn(x)=(1+x)n,(Ⅰ)若f2011(x)=a+a1x+…+a2011x201...
试题详情
已知f
n(x)=(1+x)
n,
(Ⅰ)若f
2011(x)=a+a
1x+…+a
2011x
2011,求a
1+a
3+…+a
2009+a
2011的值;
(Ⅱ)若g(x)=f
6(x)+2f
7(x)+3f
8(x),求g(x)中含x
6项的系数;
(Ⅲ)证明:
.
相关试题
-
已知fn(x)=(1+x)n,
(Ⅰ)若f2011(x)=a+a1x+…+a2011x2011,求a1+a3+…+a2009+a2011的值;
(Ⅱ)若g(x)=f6(x)+2f7(x)+3f8(x),求g(x)中含x6项的系数;
(Ⅲ)证明:.
-
已知fn(x)=(1+x)n,
(Ⅰ)若f2011(x)=a+a1x+…+a2011x2011,求a1+a3+…+a2009+a2011的值;
(Ⅱ)若g(x)=f6(x)+2f7(x)+3f8(x),求g(x)中含x6项的系数;
(Ⅲ)证明:.
-
已知fn(x)=(1+x)n,
(Ⅰ)若f2011(x)=a+a1x+…+a2011x2011,求a1+a3+…+a2009+a2011的值;
(Ⅱ)若g(x)=f6(x)+2f7(x)+3f8(x),求g(x)中含x6项的系数;
(Ⅲ)证明:.
-
已知fn(x)=(1+x)n,
(Ⅰ)若f2011(x)=a+a1x+…+a2011x2011,求a1+a3+…+a2009+a2011的值;
(Ⅱ)若g(x)=f6(x)+2f7(x)+3f8(x),求g(x)中含x6项的系数;
(Ⅲ)证明:.
-
已知fn(x)=(1+x)n,
(Ⅰ)若f2011(x)=a+a1x+…+a2011x2011,求a1+a3+…+a2009+a2011的值;
(Ⅱ)若g(x)=f6(x)+2f7(x)+3f8(x),求g(x)中含x6项的系数;
(Ⅲ)证明:.
-
若(x-1)2011=a+a1x+a2x2+…+a2010x2010+a2011x2011,则a1+a2+a3+…+a2010+a2011=________.
-
已知(x-)3=ax3+a1x2+a2x+a3,则(a+a2)2-(a1+a3)2=( )
A.-1
B.1
C.-2
D.2
-
已知(1+)n=a+a1x+a2x2+…+anxn,a3=,则a1+a2+…+an=________.
-
已知(1+)n=a+a1x+a2x2+…+anxn,a3=,则a1+a2+…+an=________.
-
已知(1+x)+(1+x)2+(1+x)3+…+(1+x)8=a+a1x+a2x2+a3x3+…+a8x8,则a1+a2+a3+…+a8=________.