Evaluating $\sum_{k=1}^{n} 2^{k}k$ How can I evaulate the following series?

$$\sum_{k=1}^{n} 2^{k}k$$

I don't know where to begin. $2^k$ alone would be straight forward.
Notice that $\sum_{k=1}^nk2^k=\sum_{m=1}^n\sum_{k=m}^n2^k$. Can you conclude from here?
$$ \sum_{k=1}^{n} 2^{k} = infinity$$

then your sum is greater so it to goes to infinity

The comparison test shows why.

https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-6/v/comparison-test-convergence