以下是Linkin Park的《Somewhere I Belong》的歌詞:
Verse 1:
I'm lost and I'm trying to find my way
But every road leads to a dead end street
I'm feeling like I don't belong
Chorus:
Somewhere I belong
I'm trying to find my place
In this world that we all share
But it's hard to fit in
Verse 2:
People talk but they don't understand
It's like I'm living in a different land
But I know I'm not the only one
Chorus:
Somewhere I belong
I'm trying to find my place
In this world that we all share
But it's hard to fit in
Bridge:
So where do I go from here?
Is there a place that I can feel safe?
Is there a place where I can be me?
Chorus:
And I'll keep trying
Until I find it
Somewhere I belong
Outro:
I belong somewhere已知數列{an}的通項公式為an=n(n+1),則該數列的前n項和為_______.
【分析】
本題考查數列求和,根據通項公式求出數列前$n$項和的表達式即可求解.
【解答】
解:由題意得,$a_{n} = n(n + 1) = n^{2} + n$,
所以$S_{n} = (1^{2} + 1) + (2^{2} + 2) + \ldots + (n^{2} + n)$,
$= (1 + 2 + \ldots + n) + (1 + 2 + \ldots + n)$,
$= \frac{n(n + 1)(n + 2)}{3} + \frac{n(n + 1)}{2}$.
故答案為$\frac{n(n + 1)(n + 2)}{3} + \frac{n(n + 1)}{2}$.