Create the following vectors efficiently using loops $($i$.$e$.$ without vectorization$).$ See if you can find more than $1$ solution. $(20$ pts$)$

$($a$)A=[1,3,5,7,9,$dots$]$ up to $n=10$ terms. Modify your code to work for $n=100.$

$($b$)B=[1,2,4,8,16,32,$dots$]$ up to $n=10$ terms. Modify your code to work for $n=100.$

$($c$)C=[1,0\mathrm{.}1,0\mathrm{.}01,0\mathrm{.}001,0\mathrm{.}0001,$dots$]$ up to $n=10$ terms. Modify your code to work for $n=20.$

$($d$)D=[1,-1,1,-1,1,-1,$dots$]$ up to $n=10$ terms. Modify your code to work for $n=100.$

$($e$)E=[0,\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5},\frac{5}{6},$dots$]$ up to $n=10$ terms. Modify your code to work for $n=100.$

HINT: Create a ten element vector such as $A=1$:$10($ or $A=1$:$100),$ and then use a loop for $10($or $100)$ iterations to change each value in the vector A using a formula involving the loop variable.