$"$

$",$

$"**$Instructions:$**$

$",$

$"1.$ Complete the tasks below by editing$/$adding the code in the code cells directly below each question.

$",$

$"2.$ Submit your completed $.$ipynb file on the module website under the appropriate link.

$",$

$"$

$",$

"For any queries about this assignment, email Katherine Malan at malankm@unisa.ac$.$za$"$

$]$

$\},$

$\{$

"cell$\_$type": "markdown",

$"$id$"$: $"$a$90$e$88$af$",$

"metadata": $\{\},$

"source": $[$

$"$## Question $1$: debugging $(9$ marks$)$

$",$

"The following code is supposed to print out the Fibonacci sequence up to the number of terms specified by the user.

$",$

"For example, if the user enters $10,$ the output should be:

$",$

$"$

$",$

"Fibonacci sequence of $10$ terms:

$",$

$"0,1,1,2,3,5,8,13,21,34$

$",$

$"$

$",$

"However, the program contains a number of errors. Your task is to fix the code until it works correctly.

$",$

"For each error that you find in the program, add a comment to explain the error."

$]$

$\},$

$\{$

"cell$\_$type": "code",

"execution$\_$count": null,

$"$id$"$: $"$e$9$a$221$c$9",$

"metadata": $\{\},$

"outputs": $[],$

"source": $[$

"num$\_$terms $=$ input$(\backslash "$Enter the number of terms: $\backslash ")$

$",$

$"$t$1=0$

$",$

$"$t$2=1$

$",$

"counter $=1$ # counter for checking when to stop

$",$

$"$if num$\_$terms $<=0$

$",$

$"$ print$(\backslash "$No terms $-$ number is not positive$\backslash ")$

$",$

"else:

$",$

$"$ while counter $<$ num$\_$terms:

$",$

$"$ print$(\backslash "$Fibonacci sequence of$\backslash ",$ num$\_$terms, $\backslash "$ terms:$\backslash ")$

$",$

$"$ if $($counter $=$ num$\_$terms $-1)$: # the last term

$",$

$"$ print$($t$1)$

$",$

$"$ else:

$",$

$"$ print$($t$1,$ end $=\backslash ",\backslash ")$

$",$

$"$ next$\_$term $=$ t$1+$ t$2$

$",$

$"$ # update values

$",$

$"$ t$1=$ t$2$

$",$

$"$ t$2=$ next$\_$term"

$]$

$\},$

$\{$

"cell$\_$type": "markdown",

$"$id$"$: $"48$b$09078",$

"metadata": $\{\},$

"source": $[$

$"$## Question $2$: number of characters and words $(5$ marks$)$

$",$

"Write code to input a sentence from the user and output the number of characters in the sentence as well as the estimated number of words in the sentence $($excluding leading or trailing spaces$).**$Hint$**$: You can estimate the number of words by counting the number of spaces in the sentence.

$"$

$]$

$\},$

$\{$

"cell$\_$type": "code",

"execution$\_$count": null,

$"$id$"$: $"$f$3076120",$

"metadata": $\{\},$

"outputs": $[],$

"source": $[]$

$\},$

$\{$

"cell$\_$type": "markdown",

$"$id$"$: $"00$a$5627$a$",$

"metadata": $\{\},$

"source": $[$

$"$## Question $3$: Ackley's function $(8$ marks$)$

$",$

"Write code to input two numbers from the user $($x$1$ and x$2)$ and then print out the result of the following fuction $($known as Ackley's function$).$ You can test your code using the following test cases: f$(0,0)$ $$\backslash \backslash$approx$ $0,$ and f$(31\mathrm{.}5,31\mathrm{.}5)$ $$\backslash \backslash$approx$ $22\mathrm{.}314.**$Hint$**$: In Python, trigonometric functions $($such as cos and sin$)$ are defined in the math package.

$",$

$"$

$",$

$"$ $f$($x$\_1,$x$\_2)=-20\backslash \backslash ,\backslash \backslash$textrm$\{$exp$\}\backslash \backslash$big$(-0\mathrm{.}2\backslash \backslash$sqrt$\{0\mathrm{.}5($x$\_1^2+$ x$\_2^2)\}\backslash \backslash$big$)-\backslash \backslash$textrm$\{$exp$\}(0\mathrm{.}5(\backslash \backslash$cos$2\backslash \backslash$pi x$\_1+\backslash \backslash$cos$2\backslash \backslash$pi x$\_2))+20+\backslash \backslash$textrm$\{$exp$\}(1)$$$"$

$]$

$\},$

$\{$

"cell$\_$type": "code",

"execution$\_$count": null,

$"$id$"$: "edc$5$c$278",$

"metadata": $\{\},$

"outputs": $[],$

"source": $[]$

$\},$

$\{$

"cell$\_$type": "markdown",

$"$id$"$: $"009$a$4$bcc$",$

"metadata": $\{\},$

"source": $[$