【简答题】己知等差数列{a n },公差d>0,前n项和为S n ,且满足a 2 a 3 =45,a 1 +a 4 =14. (I)求数列{a n }的通项公式及前,n项和S n ; (II)设 b n = S n n+c ,若数列{b n }也是等差数列,试确定非零常数c;并求数列 { 1 b n ? b n+1 } 的前n项和T n .
【简答题】已知数列{a n }为公差大于0的等差数列,S n 为其前n项和,且a 1 a 6 =21,S 6 =66. (1)求数列{a n }的通项公式; (2)若数列{b n }满足 b n = x a n+3 ,求{b n }的前n项和T n ; (3)若数列{c n }是等差数列,且c n = S n n+p ,求常数p.