五个连续奇数,中间一个是2n+1 (n为正整数),那么这五个数的和是( ) A.10n+10 B.10n+5 C.5n+5 D.5n-5
问题描述:
五个连续奇数,中间一个是2n+1 (n为正整数),那么这五个数的和是( )
A. 10n+10
B. 10n+5
C. 5n+5
D. 5n-5
答
∵连续的奇数相差2,
∴五个连续奇数为:2n-3,2n-1,2n+1,2n+3,2n+5;
∴2n-3+2n-1+2n+1+2n+3+2n+5=10n+5.
故选B.