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> 已知等差数列{a n}的前n项和为S n，满足a 1=1，S 6=36，数列{b n}是等比数列且满足b 1+b 2=3，b 4+b 5=24。（1）求数列{a n}和{b n}的通项公式；（2）设c n=1+a n·b n，求c n的前n项和T n。

问题：

发布时间：2024-09-07

已知等差数列{a _n}的前n项和为S _n，满足a ₁=1，S ₆=36，数列{b _n}是等比数列且满足b ₁+b ₂=3，b ₄+b ₅=24。
（1）求数列{a _n}和{b _n}的通项公式；
（2）设c _n=1+a _n·b _n，求c _n的前n项和T _n。

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已知等差数列{a n}的前n项和为S n，满足a 1=1，S 6=36，数列{b n}是等比数列且满足b 1+b 2=3，b 4+b 5=24。 （1）求数列{a n}和{b n}的通项公式； （2）设c n=1+a n·b n，求c n的前n项和T n。

可能感兴趣的题目：

已知等差数列{a _n}的前n项和为S _n，满足a ₁=1，S ₆=36，数列{b _n}是等比数列且满足b ₁+b ₂=3，b ₄+b ₅=24。
（1）求数列{a _n}和{b _n}的通项公式；
（2）设c _n=1+a _n·b _n，求c _n的前n项和T _n。