Please read all instructions carefully before submission. Failure to follow guidelines will result in loss

of points. Ask for clarification if something is unclear.

Purpose:

The primary purpose of this assignment is apply a for loop, a range, and a target variable to

generate a sequence of values. The secondary purpose of this assignment is to use a running total.

The algorithm in this assignment is similar to the ones we worked with in the Chapter $4$ in$-$class

exercise #$7$ as revisited here:

Here is a script to add all the fractions $\frac{1}{30},\frac{2}{30},$dots,$\frac{30}{30}$ :

Modify the script so that it adds all the fractions $\frac{1}{30},\frac{2}{29},\frac{3}{28},$dots,$\frac{30}{1}.$

Solution:

sum $=0\mathrm{.}0$

for i in range $(1,31)$ :

sum $+=\frac{i}{31-i}$

print$(\text{'}$i $=\text{'},$ i$,\text{'}31-$ i $=\text{'},31-$ i$)$

print$(\text{'}\frac{1}{30}+\frac{2}{29}+$dots$+\frac{30}{1}=,$ sum$)$

Requirements:

Write a Python program named fractions $.$ py that:

asks the user for a positive integer $n$

finds the sum of the fractions from $\frac{1}{1}$ to $\frac{1}{n}.$

finds the sum of the fractions from $\frac{n}{1}$ to $\frac{1}{n}.$

Step $2$ requires a loop to accumulate the values $\frac{1}{1},\frac{1}{2},\frac{1}{3},$dots,$\frac{1}{n},$

Step $3$ requires a loop to accumulate the values $\frac{n}{1},\frac{n-1}{2},\frac{n-2}{3},$dots,$\frac{1}{n},$

For example, if the user input $6,$ the first sum would be:

$\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}$

The second sum would be:

$\frac{6}{1}+\frac{5}{2}+\frac{4}{3}+\frac{3}{4}+\frac{2}{5}+\frac{1}{6}$

Some sample runs of the program: