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Tara is picking berries in the berry patch. She picks berries from the first bush, berries from the second bush, berries from the third bush, and berries from the fourth bush. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
Full solution
Q. Tara is picking berries in the berry patch. She picks berries from the first bush, berries from the second bush, berries from the third bush, and berries from the fourth bush. What kind of sequence is this?Choices:(A) arithmetic(B) geometric(C) both(D) neither
- Pick Berries: Tara picked berries from different bushes.First bush: Second bush: Third bush: Fourth bush: Let's list the number of berries in the given order.Sequence:
- Check Differences: Are the differences between consecutive terms equal?The differences are not the same, so this is not an arithmetic sequence.
- Check Ratios: Are the ratios of consecutive terms equal?The ratios are the same, so this is a geometric sequence.
- Determine Sequence Type: Since the sequence has a common ratio but not a common difference, we can determine the type of sequence.The sequence is geometric because each term is multiplied by the same number to get the next term.
