1.Compute the sum
\[3 + 8 + 13 + \cdots + 293 + 298 + 303.\]
2.Find the value of the series
\[1 + 4 + 2 + 8 + 3 + 12 + 4 + 16 + \cdots + 24 + 96 + 25 + 100.\]
3.Compute the value of $1 - 2 + 3 - 4 + \dots + 2019 - 2020 + 2021$.
4.Given the sequence defined by $a_n = 48 - 3n$, find all possible values of $k$ so that
\[a_1 + a_2 + a_3 + \cdots + a_k = 330.\]If you find more than one, then list the values separated by commas.
5. The largest of these five squares has side length $27$ units, and each additional square's side length is $\dfrac 2 3$ as large as the one before.
[asy]
size(200);
draw((0,27)--(27,27)--(27,18)--(45,18)--(45,12)--(57,12)--(57,8)--(65,8)--(65,16/3)--(211/3,16/3)--(211/3,32/9)--(211/3,0)--(0,0)--cycle,black+2bp);
draw((27,0)--(27,27));
draw((45,0)--(45,18));
draw((57,0)--(57,12));
draw((65,0)--(65,8));
[/asy]
What is the perimeter around the entire shape (marked above)?