题目内容
已知两等差数列{an},{bn}的前n项和分别为Sn,Tn,且
=
,则
=______.
| Sn |
| Tn |
| 2n+1 |
| n+2 |
| a8 |
| b7 |
设Sn=kn(2n+1),Tn=kn(n+2),(k≠0),
∵数列{an},{bn}是等差数列,
∴an=3k+4k(n-1)=4kn-k,bn=3k+2k(n-1)=2kn+k,
∴
=
=
,
故答案为
.
∵数列{an},{bn}是等差数列,
∴an=3k+4k(n-1)=4kn-k,bn=3k+2k(n-1)=2kn+k,
∴
| a8 |
| b7 |
| 32k-k |
| 14k+k |
| 31 |
| 15 |
故答案为
| 31 |
| 15 |
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