Rosanne is picking berries in the berry patch. She picks 24 berries from the first bush, 18 berries from the second bush, 12 berries from the third bush, and 6 berries from the fourth bush. What kind of sequence is this?

Question

A) arithmetic
B) geometric
C) both
D) neither

Answer 1

To determine the kind of sequence Rosanne's berry picking represents, let's analyze the number of berries picked from each bush:

• First bush: 24 berries
• Second bush: 18 berries
• Third bush: 12 berries
• Fourth bush: 6 berries

Now, let's look at the differences between consecutive terms to see if the sequence is arithmetic:

• 18 - 24 = -6
• 12 - 18 = -6
• 6 - 12 = -6

Since the difference between each term is constant (-6), this is an arithmetic sequence.

Next, let's check if the sequence is geometric by looking at the ratios of consecutive terms:

• 18 / 24 = 0.75
• 12 / 18 = 0.6667 (approximately)
• 6 / 12 = 0.5

The ratios are not constant, so the sequence is not geometric.

Based on this analysis, the answer is: A) arithmetic.