linkin park somewhere i belong歌詞

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$\frac{n(n + 1)(n + 2)}{3} + \frac{n(n + 1)}{2}$.