Final answer:
Ms. Joseph is saving money over 12 weeks through an arithmetic progression, starting with 1 dollar and adding one more dollar each week.
Step-by-step explanation:
Ms Joseph is practising a method of saving where she starts with a small amount and increases her savings by adding one more dollar each subsequent week. This is a simple arithmetic progression where the amount saved each week forms a sequence of numbers. The sequence starts with 1 dollar in the first week, 2 dollars in the second week, and so on. To find out how many weeks Ms Joseph will be saving money, we can consider it to be a 12-week period, as it is mentioned she will be saving for a trip to Zearnland over 12 weeks.