You will code the following functions in the programming language Python. For help with

the syntax you will need to complete the code, please read the document "Code Help" that

is included with this assignment. Turn in your assignment as a PDF file.

Create a function that generates terms of the sequence with recursive formula $a_n=$

$c1*a_{n-1}+c2*a_{n-2}$ and initial terms $a0$ and $a1.$ The inputs are $c1,c2,a0,$ and $a1,$ and

$n.$ Your function should return a list that has the first $n+1$ terms of the sequence $($i$.$e$.$

all terms from $a_0$ to $a_n).$

Create a function called "listPairs". Its input is a list A that represents a set and

whose output is a list of the subsets of A that have cardinality $2($i$.$e$.$ a list whose

elements are lists that each have two elements$).$ For instance, if $A=[a,b,c],$ then

list.Pairs $(A)=\left[\begin{array}{cc}a& b\\ a& c\\ b& c\end{array}\right].$

Create a function called "list.Triples". Its input is a list. A that represents a set and

whose output is a list of the subsets of A that have cardinality $3($i$.$e$.$ a list whose

elements are lists that each have three elements$).$ For instance, if $A=[a,b,c,d,c],$ then

list'Triples $(A)=\left[\begin{array}{ccc}a& b& c\\ a& b& d\\ a& b& c\\ a& c& d\\ a& c& c\\ a& d& c\\ b& c& d\\ b& c& c\\ b& d& c\\ c& d& c\end{array}\right].$

Make sure your functions are well documented. You should have one$-$line comments $($using

the single line comments with #$)$ written in complete sentences that describe what cach line

of code does. You may not import any packages to help you with your function.