问题
选择题
已知两个等差数列{an}和{bn}的前n项和分别An和Bn,且
|
答案
由题意可得
=an bn
=(2n-1)an (2n-1)bn (2n-1) a1+a2n-1 2 (2n-1) b1+b2n-1 2
=
=A2n-1 B2n-1
=7(2n-1)+45 (2n-1)+3
=7+7n+19 n+1
,12 n+1
经验证可知当n=1,2,3,5,11时,上式为正整数,
故选D
已知两个等差数列{an}和{bn}的前n项和分别An和Bn,且
|
由题意可得
=an bn
=(2n-1)an (2n-1)bn (2n-1) a1+a2n-1 2 (2n-1) b1+b2n-1 2
=
=A2n-1 B2n-1
=7(2n-1)+45 (2n-1)+3
=7+7n+19 n+1
,12 n+1
经验证可知当n=1,2,3,5,11时,上式为正整数,
故选D