含2n+1個(gè)項(xiàng)的等差數(shù)列,其奇數(shù)項(xiàng)的和與偶數(shù)項(xiàng)的和之比為( ?。?A.2n+1n B.n+1n C.n?1n D.n+12n
含2n+1個(gè)項(xiàng)的等差數(shù)列,其奇數(shù)項(xiàng)的和與偶數(shù)項(xiàng)的和之比為( ?。?br/>A.
B.
C.
D.
優(yōu)質(zhì)解答
依題意,奇數(shù)項(xiàng)的和S
奇數(shù)=a
1+a
3+…+a
2n+1=
=
=(n+1)a
n+1,
同理可得S
偶數(shù)=na
n+1;
∴
=
.
故選B.
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