若等差數(shù)列{an}的項(xiàng)數(shù)n為奇數(shù),則其奇數(shù)項(xiàng)之和與偶數(shù)項(xiàng)之和的比為( ?。?A.n?1n B.2n+1n C.n+1n?1 D.2n+12n
若等差數(shù)列{an}的項(xiàng)數(shù)n為奇數(shù),則其奇數(shù)項(xiàng)之和與偶數(shù)項(xiàng)之和的比為( )
A.
B.
C.
D.
A.
n?1 |
n |
B.
2n+1 |
n |
C.
n+1 |
n?1 |
D.
2n+1 |
2n |
數(shù)學(xué)人氣:569 ℃時(shí)間:2019-10-23 04:03:11
優(yōu)質(zhì)解答
由題意可得,奇數(shù)項(xiàng)有n+12 項(xiàng),偶數(shù)項(xiàng)有n?12 項(xiàng).奇數(shù)項(xiàng)之和為 n+12 a1+n+12?n?122?2d=n+12 ( a1+n?12d ),偶數(shù)項(xiàng)之和為 n?12(a1+d)+n?12?n?322?2d=n?12 ( a1+n?12d&n...
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