问题
解答题
已知数列{an}的通项公式为an=
|
答案
因为:an=
=1 n(n+1)
-1 n 1 n+1
所以:Sn=(1-
)+(1 2
-1 2
)+(1 3
-1 3
)+…+(1 4
-1 n-1
)+(1 n
-1 n
)1 n+1
=1-1 n+1
=
.n n+1
已知数列{an}的通项公式为an=
|
因为:an=
=1 n(n+1)
-1 n 1 n+1
所以:Sn=(1-
)+(1 2
-1 2
)+(1 3
-1 3
)+…+(1 4
-1 n-1
)+(1 n
-1 n
)1 n+1
=1-1 n+1
=
.n n+1