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#!/bin/bash
function task1(){
read -p "Please enter the first range:" range1
read -p "Please enter the second range:" range2
sum_odd=0
sum_even=0
howmany_even=0
howmany_odd=0
while [ $range1 -le $range2 ]; do
triangular_num=$((range1*(range1+1)/2))
if [ $(($triangular_num % 2)) -eq 0 ]; then
sum_even=$(($sum_even + $triangular_num))
echo "$triangular_num (This number is even)"
((howmany_even++))
else
sum_odd=$(($sum_odd + $triangular_num))
echo "$triangular_num (This number is odd)"
((howmany_odd++))
fi
((range1++))
done
echo "Sum of even numbers: $sum_even."
echo "Sum of odd numbers: $sum_odd."
echo "There are $howmany_even triangular even numbers."
echo "There are $howmany_odd triangular odd numbers."
}
function task2(){
read -p "Input Number: " value
read -p "Input Desired Number of Operations: " count_value
read -p "Input Real Integer: " x
count=0
while [ $count -le $count_value ]; do
product=$(( value * (value + 1) ))
echo "Product: $product"
((count++))
((value++))
if [ $((product % x)) -eq 0 ]; then
echo "x is a factor of the product"
else
echo "x is not a factor of the product"
fi
done
}
function task3() {
echo "Task 3: Sequence Terms"
read -p "Enter the value of a: " a
read -p "Enter the value of b: " b
read -p "Enter the value of c: " c
read -p "Enter the starting position (n1): " n1
read -p "Enter the ending position (n2): " n2
a=$1
b=$2
c=$3
n1=$4
n2=$5
product=$(( (a*n1**3 + b*n1 + c) * (a*n2**3 + b*n2 + c) ))
echo "Product of the first and last term: $product"
if (( product % 4 == 0 )); then
echo "Product is a multiple of 4"
else
echo "Product is not a multiple of 4"
fi

for ((n=n1; n<=n2; n++)); do
term=$(( a*n**3 + b*n + c ))
echo "Term $n: $term"
task3 $a $b $c $n1 $n2
done
read -p "would you like to continue (Y/N):" [Yy] || [Nn]
if [[ "$continue_choice" != "Y" && "$continue_choice" != "y" ]]
then
continue
else
exit $0
fi
}
read -rp "Please enter a password:" password
if [[ $password == "COMP1236" || $password == "Comp1236" ]]; then

echo "Welcome to our application menu! Please proceed by choosing one of our options below."
echo "T or t for Task 1"
echo "N or n for Task 2"
echo "S or s for Task 3"
while true; do
read -p "Enter your choice (T/N/S): " choice
case "$choice" in

[Tt])
echo "You have selected Task 1."
task1
;;
[Nn])
echo "You have selected Task 2."
task2
;;
[Ss])
echo "You have selected Task 3."
task3
;;
*)
echo "Invalid choice. Please enter one of the listed options."
;;
esac
done
else
echo "Wrong password"
exit 1
fi
     
 
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