Write out the following sums, one term for each value of $k$. Simplify each term as much as possible, but do not enter decimals. For example, enter $1+4+9$ instead of $1^2 + 2^2 + 3^2$ or $14$, or enter $1/2+1/2$ instead of $0.5+0.5$ or $1$. The purpose of this problem is for you to show that you know how to interpret summation notation and write all of the terms in a sum, which is why you are being told not to reduce your answers very much.

1.    $\displaystyle \sum_{k=0}^{5} 2^{k} =$
   
   
2.    $\displaystyle \sum_{k=2}^{7} \frac{1}{k} =$
   
   
3.    $\displaystyle \sum_{k=1}^{5} k^2 =$
   
   
4.    $\displaystyle \sum_{k=1}^{8} \frac{1}{8} =$
   
   
5.    $\displaystyle \sum_{k=1}^{8} 4 k =$