Question
Willow is in her fourth year working for the same company. Her starting salary was
$48,000. The next year, her salary was $50,400. The following year, her salary was
$52,920. This year, her salary is $55,566. Willow’s boss says her salary will continue
to increase by the same percentage each year.
A. Write the values given in the scenario as a sequence. already done.
Year 1: $48,000
Year 2: $50,400
Year 3: $52,920
Year 4: $55,566
$48,000, $50,400, $52,920, $55,566.
B. Is this an example of an arithmetic sequence, a geometric sequence, or
another type of sequence? Explain
make it simple in a small paragraph and like a kid wrote it.
$48,000. The next year, her salary was $50,400. The following year, her salary was
$52,920. This year, her salary is $55,566. Willow’s boss says her salary will continue
to increase by the same percentage each year.
A. Write the values given in the scenario as a sequence. already done.
Year 1: $48,000
Year 2: $50,400
Year 3: $52,920
Year 4: $55,566
$48,000, $50,400, $52,920, $55,566.
B. Is this an example of an arithmetic sequence, a geometric sequence, or
another type of sequence? Explain
make it simple in a small paragraph and like a kid wrote it.
Answers
GPT-4o mini
This is a geometric sequence because Willow's salary is increasing by a certain percentage each year, not by adding the same amount. In simpler terms, every year her salary gets bigger by multiplying it by a specific number. For example, from Year 1 to Year 2, her salary went up by 5% (which is a little bit more than $2,400), and that same idea happens each year. So, it's not just adding a certain number each time; it's multiplying by a factor that makes it grow faster each year!